Which of the following could be the side measures of a right triangle? *

1)6 ft, 5 ft, 4 ft

2)8 ft, 7 ft, 6 ft

3)10 ft, 8 ft, 6 ft

4)12 ft, 10 ft, 8 ft

Answers

Answer 1

Answer:

option 1

Step-by-step explanation:

please Mark me as brainlist

Answer 2

The set of side lengths that could represent a right triangle is

12 ft, 10 ft, and 8 ft.

Option D is the correct answer.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

To determine which of the given sets of side lengths could represent a right triangle, we can apply the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides (legs) is equal to the square of the length of the longest side (hypotenuse).

Using this theorem, we can check each of the given sets of side lengths to see if they satisfy this condition:

6 ft, 5 ft, 4 ft

6² + 5² = 36 + 25 = 61

4² = 16

Since 61 is not equal to 16, this set of side lengths does not represent a right triangle.

8 ft, 7 ft, 6 ft

8^2 + 7^2 = 64 + 49 = 113

6^2 = 36

Since 113 is not equal to 36, this set of side lengths does not represent a right triangle.

10 ft, 8 ft, 6 ft

10^2 + 8^2 = 100 + 64 = 164

6^2 = 36

Since 164 is not equal to 36, this set of side lengths does not represent a right triangle.

12 ft, 10 ft, 8 ft

12^2 + 10^2 = 144 + 100 = 244

8^2 = 64

Since 244 is equal to 64 + 180, this set of side lengths does represent a right triangle.

Therefore,

The set of side lengths that could represent a right triangle is 12 ft, 10 ft, and 8 ft.

Learn more about triangles here:

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Related Questions

help please !!! it's 6th grade math ​

Answers

Answer:

$150

Step-by-step explanation:

$30 x 3 = 90

$20 x 3 = 60

90 + 60 = $150

hope this helps! (:

The table shows the number of tropical cyclones that formed during the hurricane
seasons over a 12-year period.
a. Find the probability to predict whether a future tropical cyclone in the Northern
Hemisphere is a hurricane. Round your answer to the nearest tenth.
about
%
b. Find the probability to predict whether a hurricane is in the Southern Hemisphere
Round your answer to the nearest tenth.
about
1%

Answers

Answer:

A.) is 46.2

B.) is 58.1

Step-by-step explanation:

what 5/8x + 1/2 (1/4x + 10)? ​

Answers

5+3x/4




5x+1/2(1/4+10). Distributive property
5x+x/8+5. Combine like terms
5+3x/4
The answer is
3/4x + 5

Solution:
5/8x + 1/2 (1/4x + 10)
5/8x + 1/8x + 5
3/4x + 5

olve for x: 3(x + 1) = −2(x − 1) + 6.

Answers

3(x+1)=3x+3
-2(x-1)+6=-2x+2+6=-2x+8
3x+3=-2x+8
X=1 because 3(1)+3=6 and -2(1)+8=6

Your parents are building a pool that is 7 ft wide and 12 ft long. They want to put a walkway around the pool that is x ft wide on all sides. Write a polynomial that represents the combined area of the pool and walkway. Answer needs to be in standard form and use x as your variable.

Answers

Answer:

Combined area = 4[tex]x^{2}[/tex] + 38x + 84

Step-by-step explanation:

The rectangle formed by the pool and walkway is 12 + 2x long and 7 + 2x wide.

Area of the rectangle = lw = (2x + 12)(2x + 7) = 4[tex]x^{2}[/tex] + 38x + 84

Triangles are similar Find the value of x.
Please i need help Thank you in advanced ​

Answers

28 1/3

Step-by-step explanation:

The scale factor is 5/3

Multiply 17 by 5/3.

28 1/3

Answer:

x=28.33 or 28 1/3

Step-by-step explanation:

12/17=20/x

12x=340

x=28.33

7/10 - ___ + 3/2 = 6/5 ??????
Help me please

Answers

Answer:

1

Step-by-step explanation:

make all fraction have the same denominator:

7/10 - x + 15/10 = 12/10

isolate x: 12/10 - 7/10 - 15/10 ---> -x = -10/10

divide by 1 x = 10/10 or 1

x = 1

Answer:

1

Step-by-step explanation:

Let the no. be x

7/10-x+3/2=6/5

-x=6/5-3/2-7/10

-x=-10/10

-x=-1

x=1

Hope it helps

A recipe uses 3/8 cup of water and 2 cups of flour. Write the ratio of water to flour as described by the recipe. Then find the value of the ratio. PLEASE HELP

Answers

Answer:

2.29*20 = 45.80 and 3.49*35 = 122.15.

Step-by-step explanation:

Could you help me please ?

Answers

Answer:

Step-by-step explanation: The quotient is 20

PLZ HELP!!! WILL GIVE HIGHEST POINTS IF THE ANSWER IS CORRECT!!!

Answers

Answer:

ab multiplied by ( A -B)

Step-by-step explanation:

Which of the following coordinate pairs make the equation x-9y=12 true? A (3,-1) B (0,-4/3) C (0,12) D (12,0) (There are multible answers.)

Answers

Answer:

Burun yardımı lazım ders programlı

Step-by-step explanation:

Lise pitirdim üventisiyi bitirdim

The rectangle has an area of 128 square inches and a width of 8 inches. Find the perimeter of the rectangle.

Answers

The answer is 48 square inches as the perimeter.

The perimeter of the rectangle is 48 inches.

What is rectangular perimeter?

The whole distance that a rectangle's borders, or its sides, cover is known as its perimeter. Given that a rectangle has four sides, the perimeter of the rectangle will be equal to the total of its four sides.

Given:

The rectangle has an area of 128 square inches and a width of 8 inches.

That means, the length,

= area of the rectangle / the width of the rectangle

= 128/8

= 16 inches.

The perimeter of the rectangle,

= 2 (length + width)

= 2 (16 + 8)

= 48 inches.

Therefore, the perimeter is 48 inches.

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The coordinates of the vertices of △UVW are U(−2,−1), V(2,−1), and W(2,−8). Find the side lengths to the nearest hundredth and the angle measures to the nearest degree.

Answers

Answer:

UV = 4; VW = 7, UW ≈ 8.06

m∠V = 90°, m∠U ≈ 60°, m∠W ≈ 30°

Step-by-step explanation:

Using the distance formula, find the length of UW⎯⎯⎯⎯⎯⎯⎯.

UW=(2−(−2))2+(−8−(−1))2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

Simplify.

UW=(4)2+(−7)2‾‾‾‾‾‾‾‾‾‾‾‾√

Square.

UW=16+49‾‾‾‾‾‾‾√

Simplify.

UW=65‾‾‾√

Use a calculator to approximate.

UW≈8.06

Therefore, UW≈8.06.

Using the distance formula, find the length of UV⎯⎯⎯⎯⎯⎯.

UV=(2−(−2))2+(−1−(−1))2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

Simplify.

UV=(4)2+(0)2‾‾‾‾‾‾‾‾‾‾√

Square.

UV=16+0‾‾‾‾‾‾√

Simplify.

UV=16‾‾‾√

Simplify.

UV=4

Therefore, UV=4.

Using the distance formula, find the length of VW⎯⎯⎯⎯⎯⎯.

VW=(2−2)2+(−8−(−1))2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

Simplify.

VW=(0)2+(−7)2‾‾‾‾‾‾‾‾‾‾‾‾√

Square.

VW=0+49‾‾‾‾‾‾√

Simplify.

VW=49‾‾‾√

Simplify.

VW=7

Therefore, VW=7.

The figure shows the same triangle U V W on a Cartesian plane as in the beginning of the task. The length of segment U V is 4 units. The length of segment V W is 7 units. The length of segment U W is 8.06 units.

Notice that UW2=UV2+VW2. So, by the Converse of the Pythagorean Theorem, △UVW is a right triangle.

Since VW⎯⎯⎯⎯⎯⎯ and UV⎯⎯⎯⎯⎯⎯ are perpendicular, m∠V=90°.

Therefore, m∠V=90°.

By the definition of tangent, tan∠U=VWUV.

Take the inverse tangent of both sides.

m∠U=tan−1(VWUV)

Substitute 7 for VW and 4 for UV.

m∠U=tan−1(74)

Use a calculator to calculate the inverse tangent.

The figure shows a calculator screen on which the inverse tangent of seven fourths is calculated. The result of the calculation is 60 point 2 5 5 1 1 8 7.

m∠U≈60°

Therefore, m∠U≈60°.

The figure shows the same triangle U V W on a Cartesian plane as in the beginning of the task. Angle V is a right angle. Angle U measures 60 degrees.

The acute angles of a right triangle are complementary by the corollary of the Triangle Sum Theorem.

So, m∠U+m∠W=90°.

Substitute 60° for m∠U.

60°+m∠W≈90°

Subtract 60° from both sides.

m∠W≈90°−60°

Simplify.

m∠W≈30°

Therefore, m∠W≈30°.


[tex] \frac{4}{5 } + \frac{3}{20} = [/tex]

Answers

The answer is 19/20
Hope this helps

Answer:

Step-by-step explanation:

[tex]\frac{4}{5}+\frac{3}{20}\\ \\ \frac{4}{5}\left(\frac{4}{4}\right)+\frac{3}{20}\\ \\ \frac{16+3}{20}\\ \\ \frac{19}{20}[/tex]

obtenha os zeros da função
[tex]f(x) = 2x {}^{2} + 32[/tex]

Answers

———111111111111111111111111111111

finding value of x. PQR
P- 2x°
3
3
3

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Equilateral Triangles.

Since, we know that, all the sides of a triangle are equal, hence it is a Equilateral triangle.

Equilateral triangle has one all angles equal to 60°.

so, major angle P = 60°

hence, 2x=60°

===> x = 30°

1. What is the circumference of the circle
below
(18 m
C 113 m
A 36 m
B 56.5 m
D 324 m

Answers

Answer : 56.5

The formula for circumference is C = pi(d)
If the diameter was 18 all you would do is multiply 18x3.14 is would give you 56.5.

Hope it helped :)!

Find the perimeter of a rectangle whose length is 25cm and breadth is 18 cm​

Answers

Answer:

86 cm is the perimeter

Step-by-step explanation:

If three points are coplanar, they must be collinear. Since the answer is false, state a counterexample.

Answers

Answer:

Collinear points are points that lie on a line. Any two points are always collinear because you can always connect them with a straight line. Three or more points can be collinear, but they don't have to be. … Any two or three points are always coplanar

Step-by-step explanation:

Answer:

They could be on different lines or on no line, but in the same plane.

Step-by-step explanation:

Hope This Helps!!

(brainliest please, if possible)

Write the linear equation in slope-intercept form given the following:
(-3, 7) and (6, -8)

Answers

Answer:

y = - [tex]\frac{5}{3}[/tex] x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 7) and (x₂, y₂ ) = (6, - 8)

m = [tex]\frac{-8-7}{6+3}[/tex] = [tex]\frac{-15}{9}[/tex] = - [tex]\frac{5}{3}[/tex] , then

y = - [tex]\frac{5}{3}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (6, - 8) , then

- 8 = - 10 + c ⇒ c = - 8 + 10 = 2

y = - [tex]\frac{5}{3}[/tex] x + 2 ← equation of line

1) If the first coordinate represents the output value and the second coordinate represents
the input value, which two points could NOT be on the graph of the same function?
(output, input)
A. (2.2)
D. (4,7)
B. (2, 3)
E. (7.4)
C (2.4)

Answers

Answer:

A. Yup. A.

Step-by-step explanation:

Find g. 45° 45°
[tex] 3\sqrt{2} [/tex]

Write your answer in simplest radical form, units​

Answers

Answer:

sin45=3√2/g

g=3√2/(1÷√2)=3×√2×√2=3×2=6units

Answer: 6 (the math sign that’s like a checkmark i thinks it’s square root) 2. So like 6/2 you get the point.

Step-by-step explanation: I just had this problem on ixl and it gave me the answer

What the rang of the following function is

Answers

Answer:

b

Step-by-step explanation:

Answer:

its 5

Step-by-step explanation:

A teacher purchased 20 calculators and 10 measuring tapes for her class and paid $495. Later, she realized that she didn't order enough supplies. She placed another order of 8 of the same calculators and 1 more of the same measure tape and paid $178.50.The system represents the situation

`20c+10m=495`

`8c+1m=178.50`

Find the cost of one calculator and the cost of one measure tape using one of our methods of solving systems.

Answers

Answer:

Equations are

20c + 10m = 495..............(1)

8c + 1m = 178.5.................(2)

Now ,  equation (2) * 10 = 80c + 10m = 1785...........(3)

So, Eq. (3) -  Eq(1) =

80c + 10m - 20c - 10m = 1785 - 495

60c = 1290

c= 21.5

********************************************************

Now place the value of c in Eq (2)

So , m =6.5

Mark my answer as brainlist answer

Step-by-step explanation:

Are the ratios 2:4 and 5:6 equivalent? yes or no ​

Answers

Answer:

No

Step-by-step explanation:

If you try to multiply the 2:4 to change it to 5:6 , you can't because 5 is an odd number and 2 is and even

ans of this question
4 (3c+4d)

Answers

Answer: 12c+16d

Step-by-step explanation: 4(3c+4d)

(4)(3c+4d)

(4)(3c)+(4)(4d)

12c+16d

Answer:

Întâi faci paranteza și după de ie faci cu 4

I REALLY NEED AN ANSWER FAST! Which statement about the diagram is true?

A. m1 m3 + m4

B. m1 + m2 m2 + m3 + m4

C. m2 = m3 + m4

D. m1 m4

Pick one of the answers

Answers

Answer:

D

Step-by-step explanation:

To keep it short, refer to triangle exterior angle theorem.

Edit: If you want the full explanation,

A isn't the answer. The triangle exterior angle states that the measure of the 2 triangle interior add up to the the exterior angle of the other interior angle within the triangle.

Meaning that

measure of angle 1 equal the measure of 3 and 4 combined.

B. is wrong they are equal to each other because angle 2 is equal to angle 2

angle 1 is equal to angle 3 and 4

So they are equal

C.Wrong unless it a 30 60 90 triangle or 45 45 90 triangle, C is wrong

D. is right since measure of angle 4 and angle 3 add up to angle 1, angle 4 would be lesser than angle 1.

Answer:

d

Step-by-step explanation:

is 8 x 2/8 less than 8 or greater than 8

Answers

it is less because 8(2/8) would equal 2

Answer: yes if is

Step-by-step explanation:

Need help with the rule transformation

Answers

[tex]T(x,y)=(x+3,y-2)[/tex]

Hope this helps.

Anyone, please help me pretty please

Answers

Answer:

The answer is D

Step-by-step explanation:

Answer:

D i think. if not im very srry

Step-by-step explanation:

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