Question 16:
In an equilateral triangle, prove that three times the square of one side is equal to four times the square of one of its altitudes.
Answer:
Let the side of the equilateral triangle be a, and AE be the altitude of ΔABC.
∴ BE = EC = BC/2 = a/2
Applying Pythagoras theorem in ΔABE, we obtain
AB2 = AE2 + BE2
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