# geometry

if triangle FGH~ to Triangle PQR, FG = 6, PQ = 10 and the perimeter of trinagle PQR is 35 find the perimeter of triangle FGH

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1. I assume that your wiggle ~ symbol means the triangles are similar. The ratio of the lengths of all corresponding sides is 10/6 = 5/3. PQR therefor has a larger perimeter than FGH by a factor 5/3.
FGH therefore has a perimeter that is 3/5 of 35. That would be 21

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2. yes

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3. 18

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