SOLUTION: in a right triangle, the leangth of the hypotenuse is 20 inches and the length of one leg is 15 inches. What is the length of the other leg?

Algebra ->  Triangles -> SOLUTION: in a right triangle, the leangth of the hypotenuse is 20 inches and the length of one leg is 15 inches. What is the length of the other leg?      Log On


   



Question 210640: in a right triangle, the leangth of the hypotenuse is 20 inches and the length of one leg is 15 inches. What is the length of the other leg?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Pythagorean theorem: c%5E2+=+a%5E2+%2B+b%5E2 where c is the length of the hypotenuse (20 inches), a is one of the other two legs, it doesn't matter which one so we'll use a = 15 inches. We have to find the length of b.
20%5E2+=+15%5E2%2Bb%5E2
400+=+225+%2B+b%5E2 Subtract 225 from both sides.
175+=+b%5E2 Take the square root of both sides.
sqrt%28175%29+=+b
b+=+13.23inches.