11. Constructions Class 9 Mathematics NCERT Exemplar Solutions (CBSE)

Chapter 11: Constructions – Class 9 Mathematics NCERT Exemplar Solutions (CBSE Board)

Chapter 11: Constructions

EXERCISE 11.1
1. With the help of a ruler and a compass it is not possible to construct an angle of :
(A) 37.5° (B) 40° (C) 22.5° (D) 67.5°
2. 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:
(A) 6.9 cm (B) 5.2 cm (C) 5.0 cm (D)4.0 cm
3. The construction of a triangle ABC, given that BC = 3 cm, ∠C = 60° is possible when difference of AB and AC is equal to :
(A) 3.2 cm (B) 3.1 cm (C) 3 cm (D) 2.8 cm

       EXERCISE 11.2
Write True or False in each of the following. Give reasons for your answer:
1. An angle of 52.5° can be constructed.
2. An angle of 42.5° can be constructed.
3. A triangle ABC can be constructed in which AB = 5 cm, ∠A = 45° and BC+AC = 5 cm.
4. A triangle ABC can be constructed in which BC = 6 cm, ∠C = 30° and AC–AB = 4 cm.
5. A triangle ABC can be constructed in which ∠ B = 105°, ∠C = 90° and AB+BC+AC=10 cm.
6. A triangle ABC can be constructed in which∠ B = 60°, ∠C = 45° and AB+BC+AC=12 cm

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Posted 4 months ago