CTET 2 Math and Science 2011 Paper

Question : 42 of 120

Marks: +1, -0

The area of a triangle with base x units is equal to the area of a square with side x units. Then the altitude of the triangle is

Solution:

Let h be the height of 'ABC and x be the base.

Area of

ΔABC=1/2×x×h

Now, let x be the side of a square
Area of square

={x}×{x}={x}^{2}

According to the question,

\;\;{1}/{2}×x×h={x}^{2}

⇒h=2x

unit
Thus, Altitude of triangle = 2x unit

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