Question

If the sides of a triangle are in 5:3:2 and its perimeter is 360 cm, find the length of all sides of the triangle? ​

Answer 1

Given:-

• Ratio = 5:3:2
• Perimeter of triangle = 360cm

To Find:-

• All sides of triangle.

Solution:-

Let's assume that ratio be x.

Sides of triangle will be: 5x, 3x and 2x.

⇒ Perimeter of triangle = sum of all sides

⇒ 360cm = 5x + 3x + 2x

⇒360cm = 10x

⇒ x = 360/10cm

⇒ x = 36cm

Now, let's put the value of x in ratios.

• First side = 5x = 5(36) = 180cm
• Second side = 3x = 3(36) = 108cm
• Third side = 2x = 2(36) = 72cm

Answer 2

Answer:

Given :-

• The sides of a triangle are in the ratio of 5:3:2 and its perimeter is 360 cm.

To Find :-

• What is the length of all sides of the triangle.

Solution :-

» Let, the first side be 5x

» Second side be 3x

» And, the third side will be 2x

➣ According to the question,

⇒ 5x + 3x + 2x = 360

⇒ 10x = 360

⇒ x = 360/10

⇒ x = 36/1

➠ x = 36

Hence, the required length of all sides of the triangle are,

✧ First side = 5x = 5 × 36 = 180 cm

✧ Second side = 3x = 3 × 36 = 108 cm

✧ Third side = 5x = 5 × 36 = 72 cm

∴ The length of three sides of the triangle is 180 cm, 108 cm and 72 cm respectively.

➤ Let's Verify :

↦ 5x + 3x + 2x = 360

Put x = 36 we get,

↦ 5(36) + 3(36) + 2(36) = 360

↦ 180 + 108 + 72 = 360

↦ 360 = 360

➦ LHS = RHS

Hence, Verified ✔