Question

In an equilateral triangle with side 'a', prove that the altitude of length =​

Answer 1

Answer:

Let ABC be an equilateral triangle with sides 'a'. Now, draw AD perpendicular to BC. Here, we have ΔABD = ΔADC. We will find area of ΔABD using pythagorean theorem, according to which, the square of hypotenuse is equal to the sum of the squares of the other two sides.

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