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Question

Find the length of the altitude of an equilateral triangle of side 2a cm.

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Solution

10MathsTriangle

Here Let us consider ABC is an equilateral triangle of side 2a.

To Find : Altitude AD

We know Altitude of an equilateral triangle = fraction numerator square root of 3 over denominator 2 end fraction x Side

=> fraction numerator square root of 3 over denominator 2 end fraction x 2a

=> square root of 3a

Hence Altitude = square root of 3a


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