if each side of an equilateral triangle is tripled then what is the percentage increase in the area of triangle With example
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According to the condition, if the measure of the sides are increased by three times, then the area will be = √3/4 (3a)². = 800 % or 8 times.
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Step-by-step explanation:
Let side of the equilateral triangle be a
So area=√3a²/4=x
When the side becomes three times i.e. 3a,
Area=√3(3a)²/4
=9×(√3a²/4)=9x
So increase in area=8x
So%increase in area=(8x/x)×100=800%
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