SOLUTION: the length of 1 leg of a right triangle is 8ft. The length of the hypotnuse is 4ft longer than the other leg. Find the length of the hypotnuse and the other leg.

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: the length of 1 leg of a right triangle is 8ft. The length of the hypotnuse is 4ft longer than the other leg. Find the length of the hypotnuse and the other leg.      Log On


   

Question 469032: the length of 1 leg of a right triangle is 8ft. The length of the hypotnuse is 4ft longer than the other leg. Find the length of the hypotnuse and the other leg.
Answer by ccs2011(207) About Me  (Show Source):
You can put this solution on YOUR website!
Use Pythagorean theorem:
a^2 + b^2 = c^2
Let x be length of other leg, then hypotenuse is (x+4).
x%5E2+%2B+8%5E2+=+%28x%2B4%29%5E2
x%5E2+%2B+64+=+x%5E2+%2B+8x+%2B+16
48+=+8x
6+=+x
Therefore, the other leg is 6 and the hypotenuse is 10.