SOLUTION: A 45- 45- 90 triangle has a hypotenuse of length 18 units. What is the length of one of the legs? If necessary, round your answer to two decimal places

Algebra ->  Pythagorean-theorem -> SOLUTION: A 45- 45- 90 triangle has a hypotenuse of length 18 units. What is the length of one of the legs? If necessary, round your answer to two decimal places      Log On


   



Question 202920This question is from textbook Geomery
: A 45- 45- 90 triangle has a hypotenuse of length 18 units. What is the length of one of the legs? If necessary, round your answer to two decimal places This question is from textbook Geomery

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The 45-45-90 triangle is an isocseles triangle so the two legs are of equal length. Let x = the length of each leg. Use the Pythagorean theorem to find x.
c%5E2+=+a%5E2%2Bb%5E2 C = 18, a = x, and b = x, so...
18%5E2+=+x%5E2%2Bx%5E2 Simplify.
324+=+2x%5E2 Divide both sides by 2.
162+=+x%5E2 Take the square root of both sides.
highlight%28x+=+12.73%29