Question

7. The ratio of the corresponding sides of two similar triangles is 1 : 3. then the ratio of their areas is
A) 3:1
B1:9
C)9:1
DI:4

Answer 1

S1:S2=1:3

As the triangles are similar they will have similar height i.e.,H1=H2=H

A1:A2=(1/2×S1×H1)/(1/2×S2×H2)

A1:A2=(1/2×3×H)/(1/2×1×H)

So,

A1:A2=3:1

Hence the answer is option A)