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A triangle ABC can be constructed in which BC = 6 cm, ∠C = 30° and AC – AB = 4 cm. - Mathematics

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Question

A triangle ABC can be constructed in which BC = 6 cm, ∠C = 30° and AC – AB = 4 cm.

Options

  • True

  • False

MCQ
True or False

Solution

This statement is True.

Explanation:

We know that, a triangle can be constructed if sum of its two sides is greater than third side.

i.e., in ΔABC, AB + BC > AC

⇒ BC > AC – AB

⇒ 6 > 4, which is true, so ΔABC with given conditions can be constructed.

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Chapter 11: Construction - Exercise 11.2 [Page 109]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 11 Construction
Exercise 11.2 | Q 4. | Page 109

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