The construction of a triangle ABC, given that BC = 6 cm, ∠B = 45° is not possible when difference of AB and AC is equal to:
a. 6.9 cm
b. 5.2 cm
c. 5.0 cm
d. 4.0 cm

Solution:

It is given that

In triangle ABC

BC = 6 cm

∠B = 45°

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

BC < AC - AB

6 < AC - AB

So we get

AC - AB > 6

Therefore, the construction is not possible when the difference of AB and AC is equal to 6.9 cm.

✦ Try This: The construction of a triangle ABC, given that BC = 4 cm, ∠B = 55° is not possible when difference of AB and AC is equal to:

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

NCERT Exemplar Class 9 Maths Exercise 11.1 Problem 2

The construction of a triangle ABC, given that BC = 6 cm, ∠B = 45° is not possible when difference of AB and AC is equal to: a. 6.9 cm, b. 5.2 cm, c. 5.0 cm, d.4.0 cm

Summary:

The construction of a triangle ABC, given that BC = 6 cm, ∠B = 45° is not possible when difference of AB and AC is equal to 6.9 cm

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