Question

the perimeter of the triangle is 54cm and the length of the sides are in the ratio 2:3:4. find the length of three sides​

Answer 1

Answer:

this is the propper answer

Step-by-step explanation:

make sure to write formula also

Answer 2

Given :

• Perimeter of a triangle = 54 cm
• Ratio of sides of the triangle = 2 : 3 : 4

To Find :

• The length of three sides of the triangle

Solution :

Let the ratio constant be " x "

Then the sides are 2x , 3x and 4x.

Now , Perimeter of a triangle is given by ;

$\\ \star \: {\boxed{\purple{\sf{p = a + b + c}}}}$

Where ,

• a , b and c are sides

We are given that the peeimeter of the triangle as 54 cm

$\\ : \implies \sf \: 2x + 3x + 4x = 54 \: cm$

$\\ : \implies \sf \: 9x = 54 \: cm$

$\\ : \implies \sf \: x = \frac{54 \: cm}{9}$

$\\ : \implies{\underline{\boxed{\mathfrak{\pink{x = 6 \: cm}}}}}\:\bigstar$

Then the sides are ,

• 2x = 2(6) = 12 cm
• 3x = 3(6) = 18 cm
• 4x = 4(6) = 24 cm

Hence ,

• The length of the three sides are 12 cm , 18 cm and 24 cm