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Relation between Areas and Sides of Similar Triangles

If the ratios...

Question

If the ratios of areas of two similar triangles are 81: 49 the ratios of their corresponding angle-bisector segments is:

A

5:4

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B

4: 5

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C

625: 256

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D

9: 7

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Solution

The correct option is D
9: 7

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Similar questions

Q. Prove that the areas of two similar triangles are in the ratio of the squares of their corresponding: [4 MARKS]
(i) altitudes
(ii) Medians
(iii) Angle bisector segments

Q. The area of two similar triangle are

81

c m^{2}

49 c m^{2}

respectively. Find ratio of their corresponding heights. What is the ratio of their corresponding medians?

Q. If the ratio of areas of two similar triangle is

16 : 81

find the ratio of their corresponding sides.

Q. The areas of two similar triangles are in the ratio of the squares of the corresponding angle bisectors.

Q. The areas of two similar triangles are 121

c m^{2}

c m^{2}

respectively. Find the ratio of their corresponding heights.

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