The sides AB and AC and the perimeter P1 of triangle ABC are respectively three times the corresponding sides DE and DF and the perimeter P2 of triangle DEF are the two triangles similar ? If yes, find ar(triangle ABC) / ar(triangleDEF)
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Yes, the two triangles are similar.
Linear scale factor = 3
∴ Area scale factor = 3² = 9
(Remember: Area scale factor = Linear scale factor²)
⇒ ar(triangle ABC) / ar(triangleDEF) = 9
Linear scale factor = 3
∴ Area scale factor = 3² = 9
(Remember: Area scale factor = Linear scale factor²)
⇒ ar(triangle ABC) / ar(triangleDEF) = 9
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