Question

The perimeters of two similar triangles are 25 cm and 15 cm respectively. If one side of first triangle is 9 cm, what is the corresponding side of the other triangle?

Answer 1

Assume ABC and PQR to be 2 triangles

We have,

ΔABC ~ ΔPQR

Perimeter of Δ ABC = 25 cm

Perimeter of Δ PQR = 15 cm

AB = 9 cm

PQ = ?

Since, ΔABC ~ ΔPQR

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

`rArr25/12="AB"/"PQ"`

`rArr25/15=9/"PQ"`

`rArr"PQ"=(15xx9)/25=5.4` cm