Question

The function

ℎ(a) =√a^2 + 25
can be used to find the length of the hypotenuse of a right triangle with one leg length of 5 inches and the other leg length, a.
What is the length of the hypotenuse of a right triangle with leg lengths of 5 inches and 12 inches?
O 7 inches
O 13 inches
O 17 inches
O 60 inches​

Answer 1

13 inches

Explanation:

Using Pythagoras' identity

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

h² = 5² + 12² = 25 + 144 = 169 ( take square root of both sides )

h =
`√(169)` = 13