Question

es of a triangle are in the ratio 2: 3:4. If the shortest side measures 6 cm, what is the perimeter of the triangle ?​

Answer 1

Answer:

Step-by-step explanation:

Given :-

Ratio of the sides of triangle =  2 : 3 : 4

Measure of smallest side = 6 cm

To Find :-

Perimeter of the triangle

Formula to be used :-

Perimeter of triangle = Sum of all three sides.

Solution :-

Let the sides of a triangle be 2x, 3x and 4x

According to the Question

Smallest side is = 6 cm  

Then,

⇒ 2x = 6

⇒ x = 6/2

⇒ x = 3

Putting x value in all sides, we get

⇒ Perimeter of triangle = Sum of Sides

⇒ Perimeter of triangle = 2x + 3x + 4x

⇒ Perimeter of triangle = 2 × 3 + 3 × 3 + 4 × 3

⇒ Perimeter of triangle = 6 + 9 + 12

⇒ Perimeter of triangle = 27 cm

Hence, the perimeter of the triangle is 27 cm.

Answer 2

Answer :-

Given

The ratio after the ratio 2 : 3 : 4

Measure of the smallest side = 6 cm

So, the first side = 2x

Second side = 3x

Third side = 4x

___________________

As, we know that smallest side is 2x.

So, 2x = 6 cm

x = 6/2

x = 3cm

Now, put the value of x

First side = 2x = 2(3) = 6 cm

Second side = 3x = 3(3) = 9 cm

Third side = 4x = 4(3) = 12 cm

Now, A. T. Q

We have to find perimeter of triangle Δ

Perimeter of triangle = sum of all sides

» 6 cm + 9 cm + 12 cm

» 27 xm

Hence, the perimeter of triangle is 27 cm.