
Construct a triangle ABC in which BC = 5 cm, < B = 60° and the sum of the other two sides is 7 cm
Step of Constructions: (i) Draw BC = 5 cm. (ii) Draw < XBC = 60° (iii) On the ray BX, mark off point D such that BD = 7 cm. (iv) Join D to C. (v) Draw perpendicular bisector EF of CD. Let it intersects BD at A. (vi) Join A to C. ABC is the required triangle Construct a Triangle ABC in which < B = 45°, <C = 60° and AB + BC + AC = 13 cm.
Step of constructions: (i) Draw XY = 13 cm. (ii) Draw < MXY = 45° and < NYX = 60° (iii) Draw angle bisectors of < MXY and < NYX, meeting at a point, say A. (iv) Draw perpendicular bisector of XA and YA, meeting XY at B and C respectively. (v) Join A to B and A to C. ABC is the required triangle 
Construct a Triangle ABC in which BC = 5.5 cm, < B = 30° and AB – AC = 2 cm.
Step of constructions: (i) Draw BC = 5.5 cm. (ii) Draw < XBC = 30° (iii) On the ray BX, mark off point D such that BD = 2 cm. (iv) Join D to C. (v) Draw perpendicular bisector EF of CD. Let it intersects BX at A. (vi) Join A to C. ABC is the required triangle. 