Question

if the dimensions of an equilateral triangle are trebled, how is the area affected?

Answer 1

what is the fastest method?

Answer 2

\[Area(Equilateral) = \frac{\sqrt{3}}{4} \times a^2\]

a has not trebled so a has becomes 3a:

\[\implies \frac{\sqrt{3}}{4} \times (3a)^2\]

\[\implies 9 \times \frac{\sqrt{3}}{4} \times a^2 \implies 9 \times (Earlier \; Area)\]