Question

The length of three sides of triangle ABC are 6cm,4cm,and9cm. Triangle DEF is similar to triangle ABC. The length of one of sides of triangle DEF is 36cm.What is the greatest perimeter possible for triangle DEF?

Answer 1

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