Question

the perimetre of a traiangle is 600m if the ratio of it is sides 12:13:15 the find the longest side

Answer 1

let the sides of the triangle be
12x 13x and 15x
12x+13x+15x=600
40x=600
x=600/40
x=30/2
x=15

longest side =15x
15*15
225m

Answer 2

$\huge\sf\pink{Answer}$

☞ Length of longest side = 225 m

$\rule{110}1$

$\huge\sf\blue{Given}$

☆ Perimeter = 600 m

☆ Ratio of sides = 12:13:15

$\rule{110}1$

$\huge\sf\gray{To \:Find}$

✭ The longest side

$\rule{110}1$

$\huge\sf\purple{Steps}$

❍ Let the sides of the triangle be 12x, 13x and 15x respectively.

We know that,

Perimeter of rectangle is the sum of all its sides.

➝ 12x + 13x + 15x = 600

➝ 40x = 600

➝ $\sf x =\dfrac{600}{40}$

➝ $\sf\color{aqua}{x = 15}$

Therefore, sides of the triangle are ;

$\sf\bullet\orange{ 12x = 12 × 15 = 180 \ m}$

$\sf\bullet \color{red}{13x = 13 × 15 = 195 \ m}$

$\sf\bullet \color{lime}{15x = 15 × 15 = 225 \ m}$

$\rule{170}3$