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Find the percentage increase in the area of a triangle if its

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Find the percentage increase in the area of a triangle if its each side is doubled.

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Text solutionVerified

Solution: 1) area of triangle is

A_{1} = s (s - a) (s - b) (s - c)

2) If each side is doubled

A_{2} = 2 s (2 s - 2 a) (2 s - 2 a) (2 s - 2 c)

= 4 s (s - a) (s - b) (s - c)

A_{2} = 4 A_{1}

Percentage change

= \frac{A _{2} - A _{1}}{A _{1}} \cdot 100

= \frac{3 A _{1}}{A _{1}} \cdot 100

= 300 %

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Question Text	Find the percentage increase in the area of a triangle if its each side is doubled.
Answer Type	Text solution:1
Upvotes	150