A triangle ABC can be constructed in which BC = 6 cm, ∠C = 30° and AC - AB = 4 cm. Is the given statement true or false and give reasons for your answer.

Solution:

It is given that

In triangle ABC

BC = 6 cm

∠C = 30°

We know that

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

AB + BC > AC

AB + 6 > AC

6 > AC - AB

AC - AB < 6

Therefore, the statement is true.

✦ Try This: Write True or False in each of the following. Give reasons for your answer: A triangle ABC can be constructed in which BC = 5 cm, ∠C = 35° and AC - AB = 3 cm.

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

NCERT Exemplar Class 9 Maths Exercise 11.2 Problem 4

A triangle ABC can be constructed in which BC = 6 cm, ∠C = 30° and AC - AB = 4 cm. Is the given statement true or false and give reasons for your answer.

Summary:

The statement “A triangle ABC can be constructed in which BC = 6 cm, ∠C = 30° and AC - AB = 4 cm” is true

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