Question

Construct triangle ABC in which BC = 3.4 cm, AB − AC = 1.5 cm and ∠B = 45°.

Answer 1

Steps of construction:

Step I: Draw line segment BC = 3.4 cm and at point B, draw an angle of measure 45°, say ÐXBC.

Step II: Cut line segment BD = 1.5 cm (= AB − AC) from ray BX.

Step III: Join DC and draw the perpendicular bisector PQ of DC.

Step IV: Let it intersect BX at point A. Join AC. ΔABC is the required triangle.