The length of three sides of triangle ABC are 6cm, 4cm, and 9cm. Triangle DEF is similar to triangle ABC. The length of one of the sides of triangle DEF is 36cm. What is the greatest perimeter possible for triangle DEF?
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9×4=36
6×4=24
4×4=16
36+16+24=76
6×4=24
4×4=16
36+16+24=76
yakumoreyucurry:
I believe that is the smallest perimeter possible
Answered by
37
Since ΔABC ~ ΔDEF
All sides of both triangles are similar.
Smallest side of ΔABC = 4cm
Ratio of the sides of the triangles = 4/36 = 1/9 = 1:9
Second side = 6×9 = 54cm
Third side = 9×9 = 81cm
Greatest perimeter possible = 36 + 54 + 81 = 171cm
All sides of both triangles are similar.
Smallest side of ΔABC = 4cm
Ratio of the sides of the triangles = 4/36 = 1/9 = 1:9
Second side = 6×9 = 54cm
Third side = 9×9 = 81cm
Greatest perimeter possible = 36 + 54 + 81 = 171cm
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