Question

The perimeters of two similar triangles ABC and PQR are 60 cm and 36 cm. If PQ = 9cm , then AB =?

Answer 1

Hii friend,

Since the ratio of the corresponding sides of similar triangle is in the same ratio of their Perimeters.

Therefore,

∆ABC similar to ∆PQR => AB/PQ = BC/QR = AC/PR = Perimeter of ∆ABC/Perimeter of ∆PQR = 60/36 = 5/3

=> AB/PQ = 5/3

=> AB/9 = 5/3

=> AB = 9×5/3 = 3×5 = 15 cm

Hence,

Length of AB = 15 cm

HOPE IT WILL HELP YOU..... :-)

Answer 2

given : triangle ABC is similar to triangle PQR
perimeter of ABC = 60 cc m
p of PQR = 36 cm

to find : AB

solution --->

by similarity the ratio of sides n perimeter will be = 9/36= AB / 60


=> AB = 9 X 60/ 36.

= 15 cm .


hope this will help ☺️