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CTK Exchange
alexb
Charter Member
2478 posts |
Mar-08-10, 00:21 AM (EST) |
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1. "RE: Clarification on proof #82 of pythagorean theorem please"
In response to message #0
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>I understand that based on the similarity between Triangle >ABC and DBE that the AA similarity dictates that >x/(a-x)=b/c, but i do not understand how in the next step, >x=ab/(b+c). i have tried all the similarity equations but i >cannot find a way to find that value of x. Thank you in >advance. This is plain algebra. x / (a - x) = b / c xc = (a - x)b xc = ab - xb xb + xc = ab x(a + b) = bc x = bc / (a + b) |
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