Is it possible to construct a triangle with lengths of its sides as 8 cm, 7 cm and 4 cm? Give reason for your answer.

Solution:

In a triangle, we know that the sum of two sides is greater than the third side

The length of sides given are 8 cm, 7 cm and 4 cm

We know that

8 + 7 = 15 cm > 4 cm

Here the sum of two sides is greater than the third side

Therefore, it is possible to construct a triangle with lengths of its sides as 8 cm, 7 cm and 4 cm.

✦ Try This: Is it possible to construct a triangle with lengths of its sides as 9 cm, 8 cm and 5 cm? Give reason for your answer.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 7

NCERT Exemplar Class 9 Maths Exercise 7.2 Problem 12

Is it possible to construct a triangle with lengths of its sides as 8 cm, 7 cm and 4 cm? Give reason for your answer

Summary:

Yes, it is possible to construct a triangle with lengths of its sides as 8 cm, 7 cm and 4 cm as the sum of two sides is greater than the third side

☛ Related Questions:

• In Fig 7.1, PQ = PR and ∠Q = ∠R. Prove that ∆ PQS ≅ ∆ PRT
• In Fig.7.2, two lines AB and CD intersect each other at the point O such that BC || DA and BC = DA. . . . .
• In Fig.7.3, PQ > PR and QS and RS are the bisectors of ∠Q and ∠R, respectively. Show that SQ > SR