# geometry

: the perimeter of triangle abc is 26m bc is two -thirds as long as ab and it is also 2m longer than ac .find the lengths of the three sides

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1. p = ab+bc+ac = 26
bc = 2/3 ab
bc = ac+2

ab + 2/3 ab + (2/3 ab - 2) = 26
ab (1 + 2/3 + 2/3) - 2 = 26
7/3 ab = 28
ab = 12
bc = 8
ac = 6

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