Constructions-Sample Questions

1.   Construct a ΔPQR in which PQ = 5.4 cm, ∠Q = 60° and PR – PQ = 2.3 cm.

2.   Construct a ΔXYZ in which ∠Y = 45°, ∠Z = 75° and XY + YZ + ZX = 12 cm.

3.   Construct a ΔABC in which ∠B = 60°, ∠C = 45° and the perimeter of the triangle is 10 cm.

4.   Construct a ∠ABC with perimeter 11 cm and each of its base angle is 45°.

5.   Construct a ∠PQR whose perimeter is 12 cm and the lengths of whose sides are in the ratio 2 : 3 : 4.

6.   Construct a right-angled triangle whose be is 3.8 cm and hypotenuse is 5.6 cm.

7.   Construct a ∠ABC in which ∠B = 60° ∠C = 30° and the length of the perpendicular from the vertex A is 5.3 cm.

8.   Construct an equilateral triangle whose perimeter is 16.2 cm.

9.   Construct an equilateral triangle if its altitude is 3.2 cm.

10.   The construction of a triangle ABC in which BC = 6 cm, ∠B = 45° is not possible, when difference of AB and AC is equal to