Question

What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 6 and 1?

Answer 1

`sqrt(37) ~~ 6.023`

Explanation:

By Pythagoras Theorem, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

So the length of the hypotenuse is:

`sqrt(6^2+1^2) = sqrt(36+1) = sqrt(37)`

Since `37` is prime, it has no square factors and the square root cannot be simplified.