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प्रश्न
A triangle ABC can be constructed in which BC = 6 cm, ∠C = 30° and AC – AB = 4 cm.
विकल्प
True
False
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उत्तर
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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संबंधित प्रश्न
Construct a ΔABC in which BC = 3.6 cm, AB + AC = 4.8 cm and ∠B = 60°.
Construct a ΔABC in which AB + AC = 5.6 cm, BC = 4.5 cm, AB − AC = 1.5 cm and ∠B = 45°.
Construct a ΔABC in which BC = 3.4 cm, AB − AC = 1.5 cm and ∠B = 45°.
Construct a right-angled triangle whose perimeter is equal to 10 cm and one acute angle equal to 60°.
Construct a triangle ABC such that BC = 6 cm, AB = 6 cm and median AD = 4 cm.
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 ______.
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Construct a triangle ABC in which BC = 5 cm, ∠B = 60° and AC + AB = 7.5 cm.
Construct the following and give justification:
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Construct the following and give justification:
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