Math, asked by mananratta2006, 9 months ago

pls pls pls answer this question ​

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Answers

Answered by Abhishek474241
1

AnSwEr

{\tt{\red{\underline{\large{Given}}}}}

  • A word problem
  • Where the side of equilateral ∆ is doubled

{\sf{\green{\underline{\large{To\:find}}}}}

  • Increased in Area

{\sf{\pink{\underline{\Large{Explanation}}}}}

Diagram

\setlength{\unitlength}{5mm}\begin{picture}(5,5)\put(0,0){\line(1,0){8}}\put(0,0){\line(2,1){6}}\put(8,0){\line(-2,3){2}}\end{picture}

Solving

Let the side of Equilateral ∆ be x

Then

Area of Equilateral ∆ is

\boxed{\boxed{\sf\red{\dfrac{\sqrt{3}}{4}\times{a^2}}}}

Area will be

√3/4 × x²

According to the question

  • Side of ∆ is doubled

Then new side will be 2x

New Area will be

√3 /4 ×4x²

Increased In area

  • Here √3 /4 is a constant no

Therefore

= (4x²-x²)

=3x²

Now increased in percentage

\tt\implies\dfrac{3x^2}{x^2}\times{100}

=>300%

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