Question

An isosceles right triangle has a hypotenuse of 12. Between which two whole numbers are the lengths of the legs of the triangles?

Answer 1

Between 8 and 9

Explanation:

If we call the length of the legs `x`, using Pythagoras

`x^2+x^2=12^2`

`2x^2=144`

`x^2=72`

`x=sqrt72`

`8^2=64 and 9^2=81`