Question

What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 5 and 6?

Answer 1

`≈ 7.8`

Explanation:

Pythagoras' Theorem states for a right triangle 'the square on

the hypotenuse is equal to the sum of the squares on the other

2 sides'

If h = hypotenuse and a , b represent the other 2 sides :

then : `h^2 = a^ 2+ b^2`

For this question let a = 5 and b = 6

hence `h^2 = 5^2 + 6^2 = 25 + 36 = 61`

so `h = sqrt61 ≈ 7.8`