prove that three times the square of any side of an equilateralm triangle is equal to four times that the square of the alitude ?
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Answer: Let each side of the equilateral triangle be 'a' units and it's altitude be 'h' units.
To prove : - 3a² = 4h²
We know, in an equilateral triangle ,
√3/2 × a = h
On squaring both sides,
(√3/2 × a)² = (h)²
=> 3a²/4 = h²
=> 3a² = 4h²
Therefore, three times the square of any side of an equilateral triangle is equal to four times the square of its altitude.
Hence, Proved.
Step-by-step explanation:
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