10th Class Mathematics Triangles Question Bank Case Based (MCQs) - Triangles

In relation to the part \[(3),\] the ratio of areas of triangles ABC and DEF is:

A) \[9:4\]

B) \[3:2\]

C) \[4:9\]

D) \[2:3\]

Correct Answer: A

Solution :

We know that, the ratio of the areas of similar triangles is equal to the ratio of the squares of the corresponding sides.

Therefore,

\[\frac{ar(\Delta ABC)}{ar(\Delta DEF)}\,\,=\frac{A{{B}^{2}}}{D{{E}^{2}}}=\frac{{{15}^{2}}}{{{10}^{2}}}=\frac{225}{100}=\frac{9}{4}\]

So. option [a] is correct.