SOLUTION: If ∆ ABC ~ ∆ PQR, AB = 6.5cm, PQ= 10.4cm and the perimeter of ∆ ABC = 60 cm. Find the perimeter of ∆ PQR.

Question 1151325: If ∆ ABC ~ ∆ PQR, AB = 6.5cm, PQ= 10.4cm and the perimeter of ∆ ABC = 60 cm.
Find the perimeter of ∆ PQR.

Found 2 solutions by greenestamps, MathLover1:
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The ratio of lengths of corresponding sides of the two similar triangles is 6.5:10.4 = 5:8.

That is then the ratio of ANY linear measurements between the two triangles, including the perimeters. So

5:8 = 40:x
5x = 320
x = 64

The perimeter of triangle PQR is 64cm.

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
If ∆ ~ ∆
recall: Similar triangles have corresponding angles and corresponding sides.
then, the perimeter of ∆ and the perimeter of ∆ are proportional too
if corresponds to , then ratio is

and the perimeter of ∆
the perimeter of ∆

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