If each side of a triangle is doubled, then find percentage increase in its area.
Let the sides of triangle are a, b, c
When a, b and c are the sides of triangle and s is the semi-perimeter, then its area is given by:
A = where [Heron’s Formula]
A’ = where [Heron’s Formula]
When each side of triangle is doubled
= = 2
A’ =
A’ = = 4= 4A
Increase in area = 4A-A = 3A
Percentage increase in area = = = 300%