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Find the length of the altitude of an equilateral triangle with side 6 cm.
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Answer:
The altitude divides the base of the triangle into two equal parts.
So by Pythagoras theorem,
(Hypotenuse)² = (Base)² + (Altitude)²
Putting the values we get,
(6)² = (3)² + (altitude)²
36 - 9 = 27
altitude = √27 = 3√3 cm
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