Find the percentage increased in area of triangle if its each side is doubled(explain with figure)

Let a, b, c be the sides of the old triangle and s be its semi-perimeter.

The sides of the new triangle are 2a, 2b and 2c. Let s' be its semi-perimeter. Then,

Let Δ and Δ' be the areas of the old and new triangles respectively. Then,

∴ Increase in the area of the triangle = Δ' – Δ = 4Δ – Δ = 3Δ.

Hence, percentage increase in area = .

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