SOLUTION: Concerning 45-45-90 degree triangles... This one I know to be an isosceles triangle, so to find the length of one leg is to find the length of both... The hypotenuse of the given

Algebra ->  Triangles -> SOLUTION: Concerning 45-45-90 degree triangles... This one I know to be an isosceles triangle, so to find the length of one leg is to find the length of both... The hypotenuse of the given      Log On


   

Question 818984: Concerning 45-45-90 degree triangles...
This one I know to be an isosceles triangle, so to find the length of one leg is to find the length of both...
The hypotenuse of the given triangle is five times the square root of two, then divided by two. What are the length of the legs?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

isosceles right triangle h=%285sqrt%282%29%29%2F2

What are the lengthgreen%28x%29 of the legs?

Applying Pythagorean Theorem

 x%5E2+%2B+x%5E2+=+%28%285sqrt%282%29%29%2F2%29%5E2

    2x^2 = 50/4

     x^2 = 25/4

       x = 5/2  (Tossing out negative solution for unit measure)

 CHECKING our answer***

  25%2F4+%2B+25%2F4+=+50%2F4, sqrt%2850%2F4%29+=+sqrt%28%2825%2A2%29%2F4%29+=+5sqrt%282%29%2F2