SOLUTION: The hypotenuse is 6.I am trying to figure out b. Please help me with this problem.

Algebra ->  Pythagorean-theorem -> SOLUTION: The hypotenuse is 6.I am trying to figure out b. Please help me with this problem.      Log On


   



Question 52277This question is from textbook
: The hypotenuse is 6.I am trying to figure out b. Please help me with this problem. This question is from textbook

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Well, I wish you luck because you don't have enough information to answer the problem. What is the value of a?
As you probably know, in a right triangle: c%5E2+=+a%5E2%2Bb%5E2
You know the value of the hypotenuse, (c = 6) but unfortunately this is not enough to determine the value of a or b unless you also know that a = b.
If a = b, then you can solve this problem as follows:
c%5E2+=+a%5E2+%2B+b%5E2 But a=b, so:
c%5E2+=+b%5E2%2Bb%5E2
c%5E2+=+2b%5E2 and c = 6, so:
36+=+2b%5E2 Divide both sides by 2.
18+=+b%5E2 Take the square root of both sides.
sqrt%2818%29+=+b or
b+=+sqrt%2818%29
b+=+3sqrt%282%29 and that's the best you can do!