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Effect on area of a triangle if base is increased and height reduced
If the base of a right-angled triangle is increased 4 times and the height is reduced to half, what will be the effect on its area?Solution:
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 the 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.
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