If each side of a triangle is doubled

Asked by admin @ 29/08/2021 in Math viewed by 295 People

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

Answered by admin @ 29/08/2021

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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