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Volume and Surface Area
What is the percentage decrease in the area of a triangle if its each side is halved?
75%
50%
25%
No change
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Correct Answer:
75%
Explanation:
Area of triangle of = ½*a*b* sinθ = A
Where a and b are sides of the triangle and θ be the angle between them
After decreasing each side
New area = ½*(a/2)*(b/2)*sinθ = ¼ A
%decrease = [(A–¼ A)/A ]*100 = 75%
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