Question

What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 9 and 1?

Answer 1

≈ 9.06

Explanation:

Using `color(blue)" Pythagoras' Theorem "`

which states " the square on the hypotenuse of a right triangle is equal to the sum of the squares on the other 2 sides'

If hypotenuse = h and the other 2 sides are a and b then

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

here let a = 9 and b = 1 , then `h^2 = 9^2 + 1^2 = 81 + 1 = 82`

now `h^2 = 82 rArr h = sqrt82 ≈ 9.06`