If each side of an equilateral triangle is tripled then what is the percentage increase in the area of the triangle?
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Step-by-step explanation:
Let ABC be an equilateral triangle with sides which measure 'a' units.
Now...area of that triangle=√3/4 a² ------ 1
According to the condition if the measure of the sides are increased by 3 times then the area will be =√3/4 (3a²) .
=9√3 a²/4 -------2
Now...the percentage increased in area will be:
=9a - a / a ×100
=8a /a ×100
=800% or 8 times...
Hope it helps.....
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