what is x in its simplest radical form in a 45-45-90 triangle if the hypotneuse is 5?

Question

Step by step instructions would help (x is one of the legs of the triangle)

 

Answer 1

Since a 45-45-90 triangle is an right isosceles triangle, the equation you will use is:

 

x²+x² = 5²

2x² = 25

x² = 25/2

 

x = √(25/2)

x = 5/√(2)

 

Rationalizing, we get

 

x = (5√(2))/2