What is the length of the altitude of the equilateral triangle below?

A: 32
B: 8 : 3
C: 4
D: 4 : 3
E: 1
F: 8

Answer:

D

Step-by-step explanation:

AP3X

pog

The altitude of the triangle is 4√3 which is the correct option (D)

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

In any equilateral triangle, the three angles are of equal measure and they equal 60 degrees.

When we drop a perpendicular that is the height of the triangle we have a 30 -60 90 triangle.

The hypotenuse = 8

Let, perpendicular = a and base = 4

According to Pythagoras theorem,

A right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

perpendicular²+base² = hypotenuse²

a² + (4)² = (8)²

a² + 16 = 64

a² = 64 - 16

a² = 48

a = √48

a = 4√3

Hence, the altitude of the triangle is 4√3

Learn more about the right triangle here:

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