Question

The sides of a triangle are in the ratio 2:3:4.If the perimeter is 36 cm, find it's sides.
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Answer 1

Answer:

Since we are given that the sides are in the ratio 1:2:3

So, we assume the sides of the triangle to be 1×t,2×t,3×t=t,2t,3t

Now,

As we are given that the perimeter is 36 cm

So, t+2t+3t=36 cm

⇒6t=36 cm

⇒t=6 cm

Hence, the sides of the triangle are 6 cm,12 cm,18 cm respectively.

Answer 2

Step-by-step explanation:

Given:- Perimeter=36 cm

To Find:- It's sides.

Let the sides of ∆ be 2x,3x and 4x respectively.

$\large \underline \frak{ \red{according \: to \: question : }}$

$\purple{ \rightarrow2x + 3x + 4x = 36 \: cm}$

$\rightarrow{9x = 36 \: cm}$

$\frak {\blue{x} = \red{\frac{36}{9}} = \pink{4}.}$

1st Side→(2x)=(2×4)cm= 8 cm;

2nd Side→(3x) =(3×4) cm= 12 cm and

3rd Side→(4x)=(4×4) cm= 16 cm.

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