Question

The correaponding sides of two similar triangles are in the ratio 4:9 then the ratio of their areas is

Answer 1

Answer:16:81

Step-by-step explanation

Let the 2triangles be ΔABC~ΔPQR

AB:PQ=4:9

By theorem of areas of similar triangles

:.A(ΔABC):A(ΔPQR)=(AB)^2:(PQ)^2

=(4)^2:(9)^2

=16:81

:. Ratio of areas of this triangles is 16:81