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Question
The height of a triangle is increased by 40%. What
The height of a triangle is increased by 40%. What
can be the maximum percentage increase in length
of the base so that the increase in area is restricted
to a maximum of 60%?
answer: 14. 28%
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Answer
Original height = h.
Original base = b.
Original area = hb/2.
Now,
new height = 1.4h
new base = b`
new area max = 0.8hb
=> 0.7hb` = 0.8hb
=> b` = 8b/7
% increase in base = ((8b/7-b)/b)*100 = 100/7 = 14.28 %
