Question

The length of three sides of triangle ABC are 6 cm, 4 cm, and 9 cm. Triangle DEF is similar to
triangle ABC. The length of one of the sides of triangle DEF is 36 cm. What is the greatest
perimeter possible for triangle DEF?

Answer 1

let's compare the smallest side of ABC from def it's 4 and 36, which is 9, times so if we multiply 9 with other two sides of ABC then we get 9×6+9×9+36=171 cm answer

Answer 2

let 4 cm be changed to 36 cm.
then 6 changes to 54
and 9 changes to 81
so perimeter = 81+54+36
= 171 cm