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What is the percentage decrease in the area of a triangle if its each side is halved?

75%
50%
25%
No change

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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