Question

In triangle ABC, the length of AC = 10 cm and the length of BC = 6 cm. Label the triangle correctly and then answer the questions below.

A) Find the value of x using the Pythagorean Theorem. Show your work to get full credit.


B) Identify the side lengths that are the legs of triangle ABC.


C) Identify the hypotenuse of triangle ABC.

Answer 1

A) x=8

B) AB= 8 cm; AC= 10 cm; BC= 6 cm

C) Hypotenuse is AC

Explanation:

6²+ x²=10²

36+ x²=100

-36 -36

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

√b²=√64

b= 8