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Question

If the area of a triangle with base x is equal to area of a square of side x, then the altitude of the triangle is __________.

A
x2
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B
x
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C
2x
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D
2x
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Solution

The correct option is D 2x
Given area of triangle is equal to area of square.
Let altitude of traingle be a .
Area of triangle =12×base×altitude
=12x×a
Area of square =(side)2=x2
Given both are same
x×a2=x2
a=2x2x=2x
Therefore, altitude =2x

Option (D) is correct.

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