Two sides of a triangle are 12 cm and 14 cm. The perimeter of the triangle is 36 cm. What is its third side?

Solution:

We will be using the formula of the perimeter of a triangle which is equal to the sum of all its sides.

Perimeter of the triangle = 36 cm

AB = 12 cm

BC = 14 cm

CA = ?

Now, the perimeter of a triangle = Sum of all its sides

⇒ 36 = 12 + 14 + CA 

⇒ 36 = 26 + CA 

⇒ CA = 36 – 26

⇒ CA = 10 cm

Therefore, the length of the third side is 10 cm.

NCERT Solutions for Class 6 Maths Chapter 10 Exercise 10.1 Question 12

Two sides of a triangle are 12 cm and 14 cm. The perimeter of the triangle is 36 cm. What is its third side?

Summary:

For a triangle with two sides measuring 12 cm and 14 cm and perimeter 36 cm has its third side equal to 10 cm.

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