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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 = 3.4 cm, AB − AC = 1.5 cm and ∠B = 45°.
Construct a triangle whose perimeter is 6.4 cm, and angles at the base are 60° and 45° .
Using ruler and compasses only, construct a ΔABC from the following data:
AB + BC + CA = 12 cm, ∠B = 45° and ∠C = 60°.
Construct a right triangle ABC whose base BC is 6 cm and the sum of hypotenuse AC and other side AB is 10 cm.
The construction of a triangle ABC, given that BC = 3 cm, ∠C = 60° is possible when difference of AB and AC is equal to ______.
An angle of 52.5° can be constructed.
An angle of 42.5° can be constructed.
A triangle ABC can be constructed in which ∠B = 60°, ∠C = 45° and AB + BC + AC = 12 cm.
Construct the following and give justification:
A triangle PQR given that QR = 3 cm, ∠PQR = 45° and QP – PR = 2 cm.
Construct the following and give justification:
A right triangle when one side is 3.5 cm and sum of other sides and the hypotenuse is 5.5 cm.
