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?
Assume ABC and PQR to be 2 triangle.
We, have
ΔABC ~ΔPQR
Perimeter of ΔABC = 25cm
Perimeter of ΔPQR = 15cm
AB = 9cm
PQ = ?
Since, ΔABC ~ΔPQR
Then, ratio of perimeter of triangles = ratio of corresponding sides
So, (Corresponding parts of similar triangle area proportion)
Or
Or PQ = 135/25
Or PQ = 5.4 cm