If each side of triangle is doubled then area


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If each side of a triangle is doubled, then find the ratio of area of the new triangle thus formed and the given triangle

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Answer:

Step-by-step explanation:

Semi perimeter of the triangle = \frac{a+b+c}{2}

Area of triangle =\sqrt{s(s-a)(s-b)(s-c)}

Sides of the new triangle will be 2a,2b,2c

Semi perimeter of the new triangle = a+b+c=2s

Area of the new triangle = \sqrt{2s(2s-2a)(2s-2b)(2s-2c)}= 4\sqrt{s(s-a)(s-b)(s-c)}=4 x area of the triangle

Hence ratio is 4:1


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