Question

if athe sides of an equilateral triangle are tripled ,then find its new area​

Answer 1

$\small\mathcal\red{Let\:the\:initial\:side\:be\:a\:units}$

$\small\mathcal\red{Area=√3}$$\dfrac{a²}{4}$

$\small\mathcal\red{Now\:side\:is\:tripled}$

$\small\mathcal\red{new\: side,\:a=3a}$

$\small\mathcal\red{New\:area=√3}$$\dfrac{3a²}{4}$

$\small\mathcal\red{=9×√3}$$\dfrac{a²}{4}$

$\small\mathcal\red{=9×initial\:area}$