Question

If each side of a triangle is reduced to half of its original, then the percentage decrease in the area is how much?

Answer 1

If it is reduced to half of its original then it will reduce its area by 75% as the examples given below prove it:-


Example 1:- Triangle sides 4 cm, 4 cm, 4 cm

a square of a side 4 cm area = 16 sq. cm

 so the triangles area half of the square =

16/2 = 8 sq. cm

So half the triangles sides= 2 cm, 2 cm, 2 cm


A square of a side 2 cm = 4 sq. cm

Then the triangles area = 4/2 = 2




We conclude that if we reduce the sides by half of their original then we reduce the are 75%.


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