If the base of a Right angled triangle is increased 4 times and height is reduced to half, what will be the effect on its area ?
let h be the height of the triangle and b be the base as shown below:
Area of the above triangle, A = (b * h)/2
If height is increased 4 times and base is reduced to half then
new height = 4h
new base = b/2
new area = ((b/2) * (4h) )/2
= 2 * ( (b*h)/2) = 2.A
Hence, the area becomes double.