Two sides of a triangle are of lengths 5 cm and 1.5 cm. The length of the third side of the triangle cannot be
a. 3.6 cm
b. 4.1 cm
c. 3.8 cm
d. 3.4 cm

Solution:

From the figure

AB = 5 cm

BC = 1.5 cm

So the third side is AC

We know that

AB - BC < AC < AB + BC

Substituting the values

5 - 1.5 < AC < 5 + 1.5

3.5 < AC < 6.5

It cannot be 3.4 as it is less than 3.5

Therefore, the length of the third side of the triangle cannot be 3.4 cm.

✦ Try This: Two sides of a triangle are of lengths 4 cm and 2.5 cm. The length of the third side of the triangle cannot be a. 1.4 cm, b. 2.1 cm, c. 3.8 cm, d. 4.4 cm

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

NCERT Exemplar Class 9 Maths Exercise 7.1 Problem 8

Two sides of a triangle are of lengths 5 cm and 1.5 cm. The length of the third side of the triangle cannot be , a. 3.6 cm , b. 4.1 cm , c. 3.8 cm , d. 3.4 cm

Summary:

Two sides of a triangle are of lengths 5 cm and 1.5 cm. The length of the third side of the triangle cannot be 3.4 cm

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