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Did anybody get the proof for Problem 8? If so, posting would be appreciated.
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  Unfortunately,  I did not copy my notes,  but here was my logic. First,  prove that the triangles are similar. Than calculate their areas. Put in perpendicular lines in both to get the area. Than prove that the little triangles to the right of each are similar. You than get proportions that match up with the area equation we need and the ratio they gave us on r fits in.  Than just algebraically add in the 1/2.  Hope that helps.
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