Question

what is the ratio of areas of 2 similar triangles whose sides are in the ratio 3:4...

Answer 1

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$\huge{\bold{SOLUTION:-}}$

▶ 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

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Answer 2

Given:-

Side of Ratio = 3:4

We know that The ratio of the areas of two similar triangles is equal to the Ratio of the square of  Corresponding Sides.


•°• Area will be 3²:4²

= 9:16