Question

The lengths of sides of a triangle are in the ratio of 1 : 2 : 3. Find the length of its sides, if the perimeter is

300 cm.​

Answer 1

Answer:

Length of sides = 50,100,150

Step-by-step explanation:

1x + 2x+ 3x = 300

6x = 300

x = 50

So sides of triangle:

1x = 50

2x = 2*50 = 100

3x = 3*50 = 150

Answer 2

Given:-

• The lengths of sides of a triangle are in the ratio of 1 : 2 : 3.

• Perimeter of the triangle is 300cm.

To Find:-

• Find the length of its sides.

Concept:-

• Firstly,let's understand the concept. Concept used here is Perimeter of a triangle.Substitute the given values in the equation to find the unknown value and equate it to find the lengths.

Solution:-

Let the lengths of the sides of the triangle = x,2x and 3x

Perimeter of the triangle = 300cm

According to the Question we have!

⟹ x + 2x + 3x = 300

⟹ 5x + x = 300

⟹ 6x = 300

⟹ x = 300/6

⟹ x = 50

Hence,

⟹ The length of first side is 50.

= 2x = 2 × 50

= 100

Hence,

⟹ The length of second side is 100.

= 3x = 3 × 50

= 150

Hence,

⟹ The length of third side is 150.

Therefore,

The lengths of the three sides are 50,100 and 150.

Verification:-

x + 2x + 3x = 300

x = 50

⟹ 50 + 100 + 150 = 300

⟹ 150 + 150 = 300

⟹ 300 = 300

⟹ LHS = RHS

Hence,

It is verified.