The construction of a triangle ABC in which AB = 4 cm, ∠A = 60° is not possible when difference of BC and AC is equal to:
a. 3.5 cm
b. 4.5 cm
c. 3 cm
d. 2.5 cm

Solution:

It is given that

In triangle ABC

AB = 4 cm

∠A = 60°

We know that

A triangle cannot be constructed if the sum of two sides is less than or equal to the third side

AB + BC < AC

It can be written as

4 + BC < AC

4 < AC - BC

AC - BC > 4

Therefore, construction is not possible when the difference of BC and AC is equal to 4.5 cm.

✦ Try This: The construction of a triangle ABC in which AB = 5 cm, ∠A = 50° is not possible when difference of BC and AC is equal to:

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 11

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NCERT Exemplar Class 9 Maths Exercise 11.1 Sample Problem 2

The construction of a triangle ABC in which AB = 4 cm, ∠A = 60° is not possible when difference of BC and AC is equal to: a. 3.5 cm, b. 4.5 cm, c. 3 cm, d. 2.5 cm

Summary:

The construction of a triangle ABC in which AB = 4 cm, ∠A = 60° is not possible when difference of BC and AC is equal to 4.5 cm

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