If length of two sides of a triangle are 6 cm and 10 cm, then the length of the third side can be
a. 3 cm
b. 4 cm
c. 2 cm
d. 6 cm

Solution:

Given, the length of two sides of a triangle are 6 cm and 10 cm.

We have to find the length of the third side.

We know that the sum of the lengths of any two sides of a triangle is always greater than the length of the third side.

Sum of two sides = 6 + 10

= 16 cm

We know that the third side must be greater than the difference between two sides and less than the sum of two sides.

Difference of two sides = 10 - 6

= 4 cm

So, the third side must be greater than 4 cm and less than 16 cm.

Therefore, the third side is 6 cm.

✦ Try This: If length of two sides of a triangle are 8 cm and 14 cm, then the length of the third side can be

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6

NCERT Exemplar Class 7 Maths Chapter 6 Problem 35

If length of two sides of a triangle are 6 cm and 10 cm, then the length of the third side can be: (a) 3 cm, (b) 4 cm, (c) 2 cm, (d) 6 cm

Summary:

If the length of two sides of a triangle are 6 cm and 10 cm, then the length of the third side can be 6 cm

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