Question

1 point Q. 5 Ratio of corresponding sides of two similar triangles is 2:5. If the area of the smaller triangle is 64 sq. cm. then what is the area of the bigger triangle? 0 250 sq. cm. 200 sq. cm . 400 sq. cm . O 300 sq. cm ​

Answer 1

Answer:

your answer is 400 sq cm

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Answer 2

Answer:

Here is the formula for solving this question

$\frac{ {(side \: of \: first \: triangle)}^{2} }{ {(side \: of \: second \: triangle)}^{2} } = \: \frac{area \: of \: first \: triangle}{area \: of \: second \: triangle}$

So, let area of bigger triangle be x sq. cm.

$\frac{ {2}^{2} }{ {5}^{2} } = \frac{64}{x} \\ \\ \: \: \: \: \: \: \: x = \frac{(64 \times 25)}{4} \\ \\ x = 400 \: {cm}^{2}$

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