Constructions-Sample Papers

1.   Construct a triangle ABC in which BC = 7.5 cm, ∠B = 45° and the difference between the other two sides is 4 cm.

2.   Construct a ΔABC whose perimeter is 12 cm and sides are in the ratio 2 : 3 : 4.

3.   Construct ΔABC, in which ∠B = 60° and ∠C = 45° and the perpendicular from the vertex A to the base BC is 5.2 cm.

4.   Contruct an equilateral triangle if its altitude is 6 cm. Give justification for your construction.

5.   Construct a ΔABC in which BC = 5.5 cm, ∠B = 60° and sum of other two sides is 8.6 cm.

6.   Construct a ΔABC in wh h BC = 6.4 cm, ∠B = 45° and the difference between the other two sides is 2.6 cm.

7.   Construct a ΔABC in which BC = 7.2 cm, ∠B = 45° and AB – AC = 3.4 cm.