Question

If each side of an equilateral triangle is tripled then what is the percentage increase in the area of triangle

Answer 1

if each side of an equilateral triangled is tripled ,then

1/2bh ==> 100%

1/2×3b× 3h =====> increases by 300%.

Answer 2

Hi,

Here's ur answer :-

Original side of triangle = x

Original height of triangle = root 3 /2 x

Area = root 3 /4 x^2

New side of triangle = 3x

New height of triangle = 3roots/2 x

New area = 3 root 3/4 x^2

If we notice carefully then we can see that area increases 3 times. So, overally the area increases by 300%.

HOPE IT HELPS (^_^)