Question

The lengths of the sides of the ABC are 3 cm, 5 cm and 7 cm. The lengths of the sides of the PQR are
6 cm, 10 cm and 14 cm. Find : area (ABC): area (PQR).​

Answer 1

Both the triangles are similar because their sides are proportional that is of same ratio

which is equal to

3/6=5/10=7/14

=1/2

ratio of area of similar triangles=(ratio of sides)²

Ar(∆ABC)/Ar(∆PQR) =(1/2)²

=1/4