Is it possible to construct a triangle with lengths of its sides as 4 cm, 3 cm and 7 cm? Give reason for your answer.

Solution:

Using the triangle inequality theorem,

For any triangle, the sum of two sides are greater than the third side

Sum of two sides whose lengths are 4 cm and 3 cm = 4 + 3 = 7 cm

It is equal to the third side

So it is not possible to construct a triangle with lengths 4 cm, 3 cm and 7 cm

Therefore, it is not possible to construct a triangle with lengths of its sides as 4 cm, 3 cm and 7 cm.

✦ Try This: Two sides of a triangle are of lengths 9 cm and 3.5 cm. The length of the third side of the triangle cannot be a. 3.6 cm, b. 4.1 cm, c. 5.4 cm, d. 3.4 cm

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

NCERT Exemplar Class 9 Maths Exercise 7.2 Problem 5

Is it possible to construct a triangle with lengths of its sides as 4 cm, 3 cm and 7 cm? Give reason for your answer

Summary:

No, it is not possible to construct a triangle with lengths of its sides as 4 cm, 3 cm and 7 cm as the sum of two sides are greater than the third side

☛ Related Questions:

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• If ∆ PQR ≅ ∆ EDF, then is it true to say that PR = EF? Give reason for your answer
• In ∆ PQR, ∠P = 70° and ∠R = 30°. Which side of this triangle is the longest? Give reason for your an . . . .