Your cart is empty.
Practice each question, then open the answer or worked solution.
An angle of 52.5° can be constructed.
True
Justification:
52.5° = ½ × 105° = ½ × (90° + 15°)
We know that,
It is possible to construct both 90° and 15° with the help of a ruler and compass.
Therefore angle of 52.5° can be constructed.
An angle of 42.5° can be constructed.
False
Justification:
42.5° = ½ × 85°
We know that,
It is possible to construct 85° with the help of a ruler and compass.
Therefore, an angle of 42.5° cannot be constructed.
A triangle ABC can be constructed in which AB = 5 cm, ∠A = 45° and BC + AC = 5 cm.
True
Justification:
We know that,
Sum of any two sides of a triangle must be greater than the third side.
Here,
BC + AC = 5cm = AB which does not satisfy the above condition that the sum is equal to the third side.