The length of two sides of a triangle are 7 cm and 9 cm. The length of the third side may lie between
a. 1 cm and 10 cm
b. 2 cm and 8 cm
c. 3 cm and 16 cm
d. 1 cm and 16 cm

Solution:

Given, the length of two sides of a triangle are 7 cm and 9 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 = 7 + 9

= 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 between two sides = 9 - 7

= 2 cm

The third side must be greater than 2 cm and less than 16 cm

Therefore, the third side may lie between 2 cm and 16 cm.

✦ Try This: The length of two sides of a triangle are 5 cm and 7 cm. The length of the third side may lie between

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

NCERT Exemplar Class 7 Maths Chapter 6 Problem 20

The length of two sides of a triangle are 7 cm and 9 cm. The length of the third side may lie between: a. 1 cm and 10 cm, b. 2 cm and 8 cm, c. 3 cm and 16 cm, d. 1 cm and 16 cm

Summary:

The length of two sides of a triangle are 7 cm and 9 cm. The length of the third side may lie between 2 cm and 16 cm

☛ Related Questions:

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• In ∆PQR, if PQ = QR and ∠Q = 100°, then ∠R is equal to: a. 40°, b. 80°, c. 120°, d. 50°