SOLUTION: What is the area for a right triangle with sides 2x, x, and 10. 10 is the hypotenuse x is the base 2x is the leg

Algebra ->  Triangles -> SOLUTION: What is the area for a right triangle with sides 2x, x, and 10. 10 is the hypotenuse x is the base 2x is the leg       Log On


   

Question 540366: What is the area for a right triangle with sides 2x, x, and 10. 10 is the hypotenuse x is the base 2x is the leg
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Use Pythagorean Theorem
%282x%29%5E2+%2B+x%5E2+=+10%5E2
4x%5E2+%2B+x%5E2+=+100
5x%5E2+=+100
x%5E2+=+20
x+=+2sqrt%285%29
Therefore 2x+=+4sqrt%285%29
Area+=+base%2Aheight%2F2
Area+=+%282sqrt%285%29%29%284sqrt%285%29%29%2F2
Area+=+highlight%2820%29