Question

If each side of triangle become twice the original sides then find the percentage increase in its area

Answer 1

Answer:

Step-by-step explanation:

As you know, the formula for the area of a triangle is 1/2 the base times the height i.e Area 1 = 1/2 x b x h = 1/2 bh in short form. If you double the sides, you will also double the base and the height so

Area 2 = 1/2 x (2b) x (2h) = 1/2 x 4 bh = 4 x (1/2 bh) = 4 x Area 1

So doubling the sides leads to 4 times the area.

By similar arguments, the same is true for all rectangles and parallelograms.

I hope it helps

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