Question

The perimeters of two similar triangles are 23 cm and 15 cm respectively. If one side of the first trangles
9 cm. find the corresponding side of the second triangle.
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Answer 1

Answer:

Length of corresponding side is 5.86 cm

Step-by-step explanation:

Given : Perimeter of ∆ABC : Perimeter of ∆PQR :: 23 : 15

Side of one triangle = 9 cm

To find : Length of corresponding side say x cm

Solution :-

"Since ratio of perimeter of two similar triangles is equal to ratio of side of their corresponding sides."

Therefore, Perimeter of ∆ABC : Perimeter of ∆PQR :: 9 : x

23 : 15 :: 9 : x

On solving it, we get

x = 5.86 cm

Answer 2

let the two triangles be ABC and PQR

therefore ABC=PQR

perimeter of ABC= 23cm

perimeter of PQR = 15 cm

AB= 9cm

PQ=?

ratio of perimeter of triangles = ratio of corresponding sides

23/15 = AB/PQ

23/15 = 9/PQ

PQ = 23/15÷9

PQ = 23/15×1/9

PQ = 23/135

PQ = 5.86 cm (approx)