Hi, I've been working on this problem for a while now and can't seem to figure it out. I know the right answer but I'm having problems getting to it on my own.
Here's the problem: "Find the length of the shorter leg of a right triangle if the longer leg is 3cm more than the shorter leg and the hypotenuse is 6cm more than the shorter leg."
Here is the what I have so far, I know the answer is 9cm but I cannot figure out how they got to that.
Shorter leg = x, longer leg = x+3, hypotenuse = x+6. Using a2 + b2 = c2 I get x2 + (x+3)2 = (x+6)2
x2 + x2 + 9 = x2 + 36
2x2 + 9 = x2 + 36
-9 - 9
2x2 = x2 + 27
x2 = 27 ??????