Question

A right triangle has a leg of length 8 yards and a hypotenuse of length 14 yards. Find the length of the other leg. Provide an answer accurate to the nearest tenth.

Answer 1

Explanation:

You can use the Pythagorean theorem to find the answer you are looking for.

a^2+b^2=c^2

We already know two dimensions, which are a and c.

So, we plug those in:

c=14, and a=8

Then we can solve this algebraically.

b^2=14^2-8^2=196-64=b^2=132

We must take the square root of 132.

This is approximately 11.5yds

:)))

Answer 2

Answer: 11.5 yards

Work Shown:

`a^2 + b^2 = c^2\\\\8^2 + b^2 = 14^2\\\\64 + b^2 = 196\\\\b^2 = 196 - 64\\\\b^2 = 132\\\\b = √(132)\\\\b \approx 11.48913\\\\b \approx 11.5`

I used the pythagorean theorem.