Question

how to find the increase in area of an equilateral triangle whose each side is tripled

Answer 1

let initial side lf equilateral triangle=a,

then
initial area of triangle=√3/4 a²,

new side of triangle=3a,

then
new area of triangle=√3/4 × (3a)²,

=√3/4 ×9a²,

therefore
change in area=(√3/4 × 9a² - √3/4 ×a²)/(√3/4 × a²) × 100%,


=(9-1)×100%,

=800%

increase in area (