Question

What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 2 and 1?

Answer 1

`sqrt5`

Explanation:

Pythagoras Theorem states that in a right angled triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

So applying this theorem in this particular case gives :

`r^2=x^2+y^2`

`therefore r^2=2^2+1^2=5`

`therefore r=sqrt5`