Question

The perimeters of two similar triangles are 25 cm and 15 cm respectively. If one side of first triangle is 9
cm, then the corresponding side of the other triangle is
(A) 6.2 cm (B) 3.4 cm
(C) 5.4 cm
(D) 8.4 cm​

Answer 1

Answer:

Step-by-step explanation:

Assume ∆ABC and ∆PQR be 2 triangles

Given:∆ABC ∼ ∆PQR.

Perimeter of ∆ABC =25cm

Perimeter of ∆PQR=15cm

AB=9cm

PQ=?

Since ∆ABC ∼ ∆PQR.

Then,ratio of perimeter of triangles = ratio of corresponding sides

25/15=9/PQ

25PQ=15x9

PQ=135/25

PQ=5.4

Therefore,the corresponding side of the other triangle=5.4cm