SOLUTION: in a right triangle, the hypotenuse is longer than the other two sides by 10 cm and 80 cm respectively. Determine the lengths of the sides of the triangle using a complete algebrai

Algebra ->  Triangles -> SOLUTION: in a right triangle, the hypotenuse is longer than the other two sides by 10 cm and 80 cm respectively. Determine the lengths of the sides of the triangle using a complete algebrai      Log On


   

Question 857593: in a right triangle, the hypotenuse is longer than the other two sides by 10 cm and 80 cm respectively. Determine the lengths of the sides of the triangle using a complete algebraic solution.
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Call the sides as x, y, and h. Use h for hypotenuse.

Description gives h=x%2B10 and h=y%2B80. Another relationship is h%5E2=x%5E2%2By%5E2, since this triangle is a Right Triangle.

Can you find a simple plan to solve for x, y, and h? Tell me if you can or cannot finish; especially if you cannot.