Question

Construct a △ABC in which BC = 3.4 cm, AB – AC = 1.5 cm and ∠B = 45°.

Answer 1

Steps of Construction: 

Step 1: Draw a line segment BC = 3.4 cm. 

Step 2: Draw ∠XBC = 45°. 

Step 3: Draw an arc which intersects XB at point D form point B and with radius 1.5 cm. So, BD = 1.5 cm. 

Step 4: Join line segment DC. 

Step 5: Draw a perpendicular bisector of DC which intersects BX at A. 

Step 6: Join line segment AC. 

Hence, △ABC is the required triangle.