Question

27 km
36 km
What is the length of the hypotenuse?

Answer 1

The length of hypotenuse is 45 kilometers

Explanation:

Assuming that given lengths are of perpendicular and hypotenuse, and the triangle is a right angled triangle

Perpendicular = P = 27 km

Base = B = 36 km

Hypotenuse = H = ?

We can use Pythagoras theorem for finding the length of hypotenuse

The Pythagoras theorem is given by:

`H^2 = B^2+P^2`

Putting the values, we get

`H^2 = (36)^2 + (27)^2\\H^2 = 1296 + 729\\H^2 =2025`

Taking square root on both sides

`√(H^2) =√(2025)\\H =45`

Hence,

The length of hypotenuse is 45 kilometers