Question

each side of equilateral triagle is tripled then what would be the percentage increased 8n the area of the triangle​

Answer 1

Answer:

Let the initial side be a units

Area = (√3)a²/4 sq. units

Now, side is tripled,

new side, a' = 3a

New area = (√3)(3a)²/4

=9×[(√3)a²/4]

=9×(initial area)

Increase in area = 9×(initial area) - (initial area) = 8 ×(initial area)

% increase = (increase/initial area)×100

=[8 ×(initial area)/(initial area)]×100

= 800 %