Question

Ratio of three sides of a triangle are 1 : 3 : 5 and perimeter of the triangle is 270m. Find the sides.​

Answer 1

$\huge{\textbf{{\color{navy}{Ans}}{\purple{we}}{\pink{r}}{\color{teal}{♡\:}}}}$

$\sf Let \: all \: three \: sides \: of \: a \: \triangle \: be \: 1x, \: 3x \: and\: 5x \: respectively.$

$\bf Perimeter \: of \: a \: triangle = Sum \: of \: its \: all \: \red{three} \: sides$

Given, Perimeter of Triangle = 270 m

$\sf 270 = 1x \: + 3x + 5x$

$\sf \: 270 = 9x$

$\bf \: x = \cancel\dfrac{270}{9} = \sf \green{ 30 }$

$\color{teal}\bf \: Required \: Sides \: of \: the \: Triangle$

$\sf \: 1x = \red{30 \: m} \\ \sf \: 3x = 3(30) = \purple{90 \: m} \\ \sf \: 5x = 5(30) = \orange{150 \: m}$