Question

In a 45-45-90 triangle, one of the legs is `2sqrt2`. What is the length of the hypotenuse?

Answer 1

4

Explanation:

The triangles with two equal sides are isosceles triangles.
Let the length of hypotenuse be `a`?
`(2sqrt2)^2+(2sqrt2)^2=a^2`
`=>a^2=8+8`
`=>a^2=16`
`=>sqrta^2=sqrt16`
`=>a=4`