The construction of a triangle ABC, given that BC = 3 cm, ∠C = 60° is possible when difference of AB and AC is equal to :
a. 3.2 cm
b. 3.1 cm
c. 3 cm
d. 2.8 cm

Solution:

It is given that

BC = 3 cm

∠C = 60°

We know that

A triangle can be constructed if the sum of two sides is greater than the third side

AB + BC > AC

It can be written as

BC > AC - AB

3 > AC - AB

So we get

AC - AB < 3

Therefore, the construction is possible when the difference of AB and AC is equal to 2.8 cm.

✦ Try This: The construction of a triangle ABC, given that BC = 4 cm, ∠C = 70° is 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 3

The construction of a triangle ABC, given that BC = 3 cm, ∠C = 60° is possible when difference of AB and AC is equal to : a. 3.2 cm, b. 3.1 cm, c. 3 cm, d. 2.8 cm

Summary:

The construction of a triangle ABC, given that BC = 3 cm, ∠C = 60° is possible when difference of AB and AC is equal to 2.8 cm

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