In a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b, what is the value of b, if c=13, a=5

Answers

Answer 1

9514 1404 393

Answer:

  b = 12

Step-by-step explanation:

A commonly seen "Pythagorean triple" is (a, b, c) = (5, 12, 13).

The value of b is 12.

__

You may be expected to find this using the Pythagorean theorem.

  a² +b² = c²

  b² = c² - a²

  b = √(c² -a²) = √(13² -5²) = √(169 -25) = √144

  b = 12

_____

Additional comment

Pythagorean triples you will run across are ...

  (3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17), (9, 40, 41)

and their multiples, such as 2×(3, 4, 5) = (6, 8, 10). Of course, there are an infinite number of integer Pythagorean triples, but these are ones commonly seen in algebra, trig, and geometry problems.


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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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