5) Find the percentage increase in the area of the triangle if each side is doubled.
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Answer:
300%
Step-by-step explanation:
let original sides of triangle be a
By Herons Formula
s= 3a/2
√3a/2(3a/2-a)(3a/2-a)(3a/2-a)
by solving
a²√3/4
doubled sides 2a
s= 3a
√3a(3a-2a)(3a-2a)(3a-2a)
by solving
a²√3
% increase
change/ original × 100
3a²√3/4 ÷ a²√3/4 ×100
by solving
300%
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