Question

the perimeter of a triangle ABC is 13.5 cm and ratio of length of its sides is 2 : 3 : 4. Find the length of the three sides of the triangle

Answer 1

Answer:

P = 13.5

Let the sides be 2x, 3x and 4x

2x + 3x + 4x = 13.5

9x = 13.5

x = 13.5/9

x = 1.5

2x = 3

3x = 4.5

4x = 6

Step-by-step explanation:

Answer 2

Given:

• Perimeter of triangle = 13.5 cm
• Ratio of length of sides of triangle is 2:3:4.

To find:

• Length of three sides?

Solution:

Ratio of sides of triangle = 2:3:4

So, Let's sides of triangle be 2x, 3x and 4x.

According to the given Question:

Perimeter of triangle = 13.5 cm

We know that,

★ Perimeter of triangle = sum of its all sides

Therefore,

⇒ 2x + 3x + 4x = 13.5

⇒ 9x = 13.5

⇒ x = 13.5/9

⇒ x = 1.5

━━━━━━━━━━━━━━━━━━━━━━━━━━

Therefore,

• First side, 2x = 2 × 1.5 = 3 cm

• Second side, 3x = 3 × 1.5 = 4.5 cm

• Third side, 4x = 4 × 1.5 = 6 cm

∴ Hence, Sides of given triangle are 3 cm, 4.5 cm and 6 cm.