Question

If the ratio of the medians of two similar triangles is 1:2, then the ratio of their areas is ___________​

Answer 1

Question :-

• If the ratio of the medians of two similar triangles is 1:2, then the ratio of their areas is ___________.

Answer :-

• The ratio of their areas is 1 : 4

Given :-

• The ratio of the medians of two similar triangles is 1:2

To find :-

• The ratio of their areas is ?

Solution :-

According to the question,

$\\ \large \implies \sf \frac{BC}{EF} = \frac{1}{2}$

We know that ,

Ratio of square of corresponding sides = Ratio of area of triangle

$\\ \large \implies \sf\frac{ar( \triangle ABC)}{ar( \triangle DEF)} = \frac{ {BC}^{2} }{ {EF}^{2} } = \frac{ {1}^{2} }{ {2}^{2} } = \frac{1}{4} = 1:4$

Answer 2

Answer:

$\frac{1}{4}$

will be the ratio of to triangles