If the ratio of altitudes of two similar triangles is 1: 2, then the ratio of their areas is -

1 : 4

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4 : 1

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1 : 2

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Insufficient data

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Solution

The correct option is D
Insufficient data

Area of a triangle = $\frac{1}{2} \times b a s e \times h e i g h t$ So data is insufficient.

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Similar questions

Which among the following is/are correct?
(I) If the altitudes of two similar triangles are in the ratio $2 : 1$ , then the ratio of their areas is $4 : 1$ .
(II) $P Q ∥ B C$ and $A P : P B = 1 : 2$ . Then, $\frac{A (△ A P Q)}{A (△ A B C)} = \frac{1}{4}$

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If the ratio of altitudes of two similar triangles is 1: 2, then the ratio of their areas is -

The correct option is D Insufficient data Area of a triangle = 12×base×height So data is insufficient.

The correct option is D
Insufficient data

Area of a triangle = $\frac{1}{2} \times b a s e \times h e i g h t$ So data is insufficient.