Question

triangle DEF~ triangle ABC, if DE:AB=2:3 and ar(triangle DEF) is equal to 44 square units, then area (triangle ABC) in square units is _____

Answer 1

Hey Mate....!!!!
Here's ur answer....

ar(tri. DEF) / ar(tri.ABC) = DE^2 / AB^2

Since,
Tri. DEF ~ Tri. ABC
= 44 / ar(ABC) = [ 2 / 3 ]^2
= ar (ABC). = 44 × 9 / 4

So,
ar (ABC) = 99cm^2.

Hope it helps!!!

Answer 2

Answer:

thanks for asking

Step-by-step explanation:

       DE:AB=2:3 given

        ar{DEF}given=44cm^2

        ar{ABC}to be found

        44/ar{ABC}={2/3}^2

        ar{ABC}=44*9/4

        ar{ABC}=11*9

        ar{ABC}=99cm^2

thanks