SOLUTION: 1 leg of a right triangle is 17 ft longer then the other leg. the hypotenuse is 25 ft. find the length of the 3 sides of the triangle?

Algebra ->  Pythagorean-theorem -> SOLUTION: 1 leg of a right triangle is 17 ft longer then the other leg. the hypotenuse is 25 ft. find the length of the 3 sides of the triangle?      Log On


   



Question 691493: 1 leg of a right triangle is 17 ft longer then the other leg. the hypotenuse is 25 ft. find the length of the 3 sides of the triangle?
Answer by mouk(232) About Me  (Show Source):
You can put this solution on YOUR website!
Let the shorter side = +x+ then other side = +x+%2B+17+.
Then by Pythagoras, +x%5E2+%2B+%28x+%2B+17%29%5E2+=+25%5E2+
Multiplying out gives:
+x%5E2+%2B+%28x%5E2+%2B+34x+%2B+289%29+=+625+
+2x%5E2+%2B+34x+-+336+=+0+
+x%5E2+%2B+17x+-+168+=+0+
+%28x+-+7%29%28x+%2B+24+%29+=+0+
so +x+=+7+ or +x+=+-24++
as x represents a side of a triangle then +x+%3E+0+ so solution is +x+=7+