SOLUTION: Hello, I have a problem that states the following that I'm having a hard time getting passed: "Use the Pythagorean Theorem to find the lengths of the sides of the triangle."

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Question 442617: Hello,
I have a problem that states the following that I'm having a hard time getting passed:
"Use the Pythagorean Theorem to find the lengths of the sides of the triangle."
On the picture it shows the point of the triangle pointing to the left. The short base (or possibly the height) on the right shows the numbers (2x-3).
The bottom long base part of the triangle shows (15)
The top slanted side shows (2x)
Then it asks for the lengths of the missing sides are:__________.
Any help on this problem would be greatly appreciated. :)
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Since you mention Pythagoras, it's a right triangle.
2x is the hypotentuse, the longest side.
%282x%29%5E2+=+15%5E2+%2B+%282x-3%29%5E2
4x%5E2+=+225+%2B+4x%5E2+-12x+%2B+9
225 -12x + 9 = 0
12x = 234
x = 19.5
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The sides are 39, 36 & 15