Question

How do you solve the right triangle given the hypotenuse is 4 and it is a 45-45-90 triangle?

Answer 1

The dimensions of your (isosceles) triangle will be `4, 2sqrt(2) and 2sqrt(2)`.

Explanation:

You can use Pythagora's theorem calling `a` the other two shorter sides because it is an isosceles triangle with 2 equal sides.
So:
`4^2=a^2+a^2`
`16=2a^2`
`a=sqrt(8)=2sqrt(2)`