Question

Sides of two triangles are in the ratio 3:4 find the ratio of their areas

Answer 1

If and only if the two triangles are similar then and only then the ratio of their area = square of ration of their sides
So assuming that these two triangles are similar triangles ratio of the area = (3/4)²
= 9/16

Answer 2

HEY THERE!!!

Question;-

Sides of two triangles are in the ratio 3:4 find the ratio of their areas?

Method of Solution;

Note;- We know that The ratio of the areas of two similar triangles is equal to the Ratio of the square of  Corresponding Side's.

Now, Let to be Small side of Triangle∆ABC in which AB measure 3.

Also ,

Now, Let to be larger side of Triangle∆DEF in which DE measure 4

Using theorem,

ar(ABC)/ar(DEF) = AB²/DE²

ar(ABC)/ar(DEF) = (3)²/(4)²

ar(ABC)/ar(DEF) = 9/16

Hence,

Sides of two triangles are in the ratio 3:4 find the ratio of their areas is 9:16