Question

if the sides of the equilateral triangle is tripled find new area

Answer 1

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 
                  =$<b> 800 %$

Answer 2

Answer:

√3a²

Step-by-step explanation :

let the sides be a

the sides are doubled = 2a

new area=√3/4a²

=√3/4x(2a)²

=√3/4x4a²

=√3a²

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