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प्रश्न
A triangle ABC can be constructed in which AB = 5 cm, ∠A = 45° and BC + AC = 5 cm.
विकल्प
True
False
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उत्तर
This statement is False.
Explanation:
As, a triangle can be constructed, if sum of its two sides is greater than third side.
Here, BC + AC = AB = 5 cm
So, triangle ABC cannot be constructed.
Hence, the given statement is false.
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संबंधित प्रश्न
Construct a right triangle whose base is 12 cm and sum of its hypotenuse and other side is 18 cm.
Construct a ΔABC in which BC = 3.6 cm, AB + AC = 4.8 cm and ∠B = 60°.
Using ruler and compasses only, construct a ΔABC, given base BC = 7cm, ∠ABC = 60° and AB + AC = 12 cm.
With the help of a ruler and a compass it is not possible to construct an angle of ______.
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 ______.
An angle of 52.5° can be constructed.
A triangle ABC can be constructed in which BC = 6 cm, ∠C = 30° and AC – AB = 4 cm.
A triangle ABC can be constructed in which ∠B = 105°, ∠C = 90° and AB + BC + AC = 10 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.
Construct the following and give justification:
An equilateral triangle if its altitude is 3.2 cm.
