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Question

Sides of two similar triangles are in the ratio 4:9.Area of these triangles are in the ratio

A
2:3
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B
4:9
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C
81:16
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D
16:81
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Solution

The correct option is A 16:81
Given:Ratio of sides of similar triangles=49

We know that if two triangles are similar,

ratio of areas is equal to the ratio of squares of corresponding sides.

So, areaoftriangle1areaoftriangle2=(sideoftriangle1)2(sideoftriangle2)2

areaoftriangle1areaoftriangle2=(49)2=1681

areaoftriangle1areaoftriangle2=1681


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