SOLUTION: The hypotenuse of a 45-45-90 triangle has a length of 8 units. What is the length of one of its legs?

Algebra ->  Triangles -> SOLUTION: The hypotenuse of a 45-45-90 triangle has a length of 8 units. What is the length of one of its legs?      Log On


   

Question 613603: The hypotenuse of a 45-45-90 triangle has a length of 8 units. What is the length of one of its legs?
Answer by radh(108) About Me  (Show Source):
You can put this solution on YOUR website!
The 45-45-90 rule would mean that if one side is 8 units, so is the other (non-hypotenuse) side.

Now, let's find the hypotenuse:

Solved by pluggable solver: FIND hypotenuse by two sides

As we know from pythagorean theorem, length of hypoenuse c and sides are related as a%5E2%2Bb%5E2=c%5E2.


So, side c=sqrt%28+a%5E2%2Bb%5E2+%29+=+sqrt%28+8%5E2+%2B+8%5E2+%29+=+11.3137084989848



:)