Question

77 yd
36 yd
What is the length of the hypotenuse?
C =
yards

Answer 1

c = 85 yd

Explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

c² = 77² + 36² = 5929 + 1296 = 7225 ( take square root of both sides )

c =
`√(7225)` = 85

Answer 2

`85yd`

Explanation:

According to PYTHAGORAS Theorem,

`{c}^(2) = {77}^(2) + {36}^(2) \\ {c}^(2) = 5929 + 1296 \\ {c}^(2) = 7225 \\ c = √(7225) \\ c= 85yd`