Question

Let be x the area of a triangle. Then the area of a triangle whose each side is twice the side of the given triangle is. Pls Answer fast

Answer 1

Answer:

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QUESTION :

Let be x the area of a triangle. Then the area of a triangle whose each side is twice the side of the given triangle is?

SOLUTION :

This can be done by using Heron's Formula..

★ Let the area of the triangle is √ S(S - a) (S-b) (S-c)

★ The area of the triangle is 4 times of the same triangle → 4x

★ If the side of the triangle is doubled then the perimeter of the triangle also doubled.

• S becomes doubled. ( 2S)

★ All sides are a, b, c

• sides are 2a, 2b, 2c.

Heron's Formula = √S(S - a) (S - b) (S - c)

➡ √2S (2S - 2a) (2S - 2b) (2S - 2c)

➡ √2S [2(S - a)] [2(S - b)] [2(S - c)]

➡ √16S (S - a) (S - b) (S - c)

➡ 4√S (S - a) (S - b) (S - c)

➡ 4x

Therefore, it is proved....

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Step-by-step explanation:

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