Question

Each side of a triangle is increased by 10 cm. If the ratio of perimeter of the new Triangle and the given triangle is 5:4. find the perimeter of the given Triangle.

Answer 1

hope its help u

Answer: 10.9...

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Answer 2

so let the sides as

$x \:y \:z$

on increasing 10 from each

$x+10 \:y+10 \:z+10$

so the perimeter of $1^{st} \:triangle$=x+y+z

perimeter of $2^{nd} \:triangle$=x+10+y+10+z+10=x+y+z+30

since their ratio is $5:4 \:or \: \frac{5}{4}$

so the equation would be

$\frac{x+y+z+30}{x+y+z} = \frac{5}{4}$

on the cross multiply

$4x+4y+4z+120=5x+5y+5z$

$120=x+y+z$

$x+y+z=120$

so perimeter is 120cm