Question

The sides of triangle are 3:4:5 perimeter =510cm what is the measure of its greatest side

Answer 1

Answer:

212.5 cm

Step-by-step explanation:

Given that,

The sides of a traingle are 3:4:5.

Also, given that,

Perimeter = 510 cm

Let the sides be, 3x , 4x and 5x cm respectively.

Therefore, we will get,

=> 3x + 4x + 5x = 510

=> 12x = 510

=> x = 510/12

=> x = 42.5

Therefore, we will get,

=> 3x = 3(42.5) = 127.5

=> 4x = 4(42.5) = 170

=> 5x = 5(42.5) = 212.5

Hence, the greatest side is of 212.5 cm.

Answer 2

Given

$\bold{Sides \ of \ a \ triangle \ are \ in \ the \ ratio \ 3:4:5}}$

$\bold{Let \ the \ length \ of \ one \ side} = 3x$

$\bold{Let \ the \ length \ of \ the \ second \ side} = 4x$

$\bold{Let \ the \ length \ of \ the \ third \ side} = 5x$

$\bold{Perimeter \ of \ the \ triangle} = 510 \ cm$

$\implies 3x+4x+5x=510$

$\implies 12x=510$

$\implies x= \dfrac{510}{12}$

$\implies x = 42.5 \ cm$

$\implies \bold{Length \ of \ one \ side} = 3 \times 42.5 = 127.5 \ cm$

$\implies \bold{Length \ of \ second \ side} = 4 \times 42.5 = 170 \ cm$

$\implies \bold{Length \ of \ third \ side} = 5 \times 42.5 = 212.5 \ cm$

$\boxed{\boxed{\bold{Therefore, \ the \ length \ of \ the \ greatest \ side \ is \ 212.5 \ cm}}}}}}}$