The sides of a triangle are x(square)+2x+10 , 2x(square)+3x+4 , 5x(square) - 3x-5 what is it's new perimeter?
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If a,b,c are the sides of a triangle , then according to Hero's Formula area of triangle is
s(s−a)(s−b)(s−c)
where s=
2
a+b+c
For the given triangle,
s=
2
x+x+1+2x−1
=
2
4x
=2x
Area =x
10
2x(2x−x)(2x−x−1)(2x−2x+1)
=x
10
2x(x)(x−1)(1)
=x
10
x
2(x−1)
=x
10
2(x−1)
=
10
⇒2(x−1)=10
x−1=5
x=6
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