Question

What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 3 and 8?

Answer 1

Hypotenuse: `sqrt(73)~~8.544`

Explanation:

Using the Pythagorean Theorem for the length of the hypotenuse (`c`) in terms of the other 2 sides (`a` and `b`)
`color(white)("XXX")c=sqrt(a^2+b^2)`

Given `(a,b)=(3,8)`
`color(white)("XXX")c=sqrt(3^3+8^2) = sqrt(9+64)=sqrt(73)`

This could be evaluated using a calculator as approximately `8.544`