Question

If each side of an equilateral triangle is tripled then what is the percentage increase in the area of the triangle?

Answer 1

Answer:

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.....