Question

What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 8 and 7?

Answer 1

`10.6`

Explanation:

To find the length of the hypotenuse of a right-angled triangle, we use Pythagoras' Theorem:

`c^2=a^2+b^2`

`c` is what we need to find. `a` and `b` are `7` and `8` respectively - we are not provided with length units.

`c^2=7^2+8^2`
`c=sqrt(7^2+8^2)`
`c=sqrt(49+64)`
`c=sqrt(113)`
`c=10.6` units (`3` s.f.)

So the length of the hypotenuse is `10.6`.