Posted by Jacqueline on Wednesday, June 16, 2010 at 8:15pm.
3,4,5 right trisangle so
hypotenuse = 10
Draw it and note similar triangles ABC, CBD, ACD
call AD = x
then BD = 10-x
the altitude CD = sqrt (36-x^2)
the altitude CD = sqrt (64 -(10-x)^2)
so
36-x^2 = 64 - (10-x)^2
36 - x^2 = 64 - ( 100 -20 x + x^2)
36 - x^2 = -36 + 20 x - x^2
72 = 20 x
x = 72/20 = 3.6
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