# The lengths of two sides of a triangle are 12 cm and 15 cm. Between what two measures should the length of the third side fall?

**Solution:**

We know that according to the triangle inequality theorem, the sum of lengths of two sides of a triangle is always greater than the third side.

We will find the sum and difference of these two sides.

The sides of a triangle are given as 12 cm and 15 cm.

Remember, the third side should be lesser than their sum, and also it should be greater than their difference.

We will find the sum and difference of these two sides.

Hence the third side will be lesser than the sum of these two sides 12 cm + 15 cm = 27 cm.

And also it will be greater than the difference of these two sides 15 cm – 12 cm = 3 cm.

Therefore, the length of the third side will be smaller than 27 cm and greater than 3 cm.

**ā Check: **NCERT Solutions for Class 7 Maths Chapter 6

**Video Solution:**

## The lengths of two sides of a triangle are 12 cm and 15 cm. Between what two measures should the length of the third side fall?

NCERT Solutions for Class 7 Maths Chapter 6 Exercise 6.4 Question 6

**Summary:**

The lengths of two sides of a triangle are 12 cm and 15 cm. The length of the third side will be smaller than 27 cm and greater than 3 cm.

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