Answer :
The perimeter of the triangle is 12 in.
What is perimeter of similar triangle?
The perimeter of similar triangle is equal to the ratio of the similar sides of the triangle. The ratio of two similar perimeters of two similar shapes is equal to the ratio of the lengths of their corresponding sides.
Here, perimeter of triangle PQR = sum of all the side
=12+20+16
=48
The ratio of the corresponding side = 12/3
=4/1
Hence, the perimeter of triangle xyz = ?
perimeter of triangle PQR /perimeter of triangle xyz =4/1
48/x =4/1
x = 48/4
=12
Hence, the perimeter of triangle xyz = 12
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