Q4 of 33 Page 11

 Construct a triangle ABC in which BC = 4.5 cm,  ∠B = 45° and AB – AC = 2.5 cm.

  
                                                                                         
Steps of Construction:  1. Draw a ray BX and cut off a line segment BC = 4.5 cm.
2. Construct ∠YBC = 45° 3. Cut off a line segment BD = 2.5 cm from BY.
4. Join CD.
5. Draw perpendicular bisector RS of CD intersecting BY at a point A.
6. Join AC.
Then ABC is the required triangle.

More from this chapter

All 33 →
2 Construct a right triangle when one side is 3.5 cm and the sum of the other side and hypotenuse is 5.5 cm. 3 Construct a triangle ABC where base BC = 6.5 cm, CA + AB = 10 cm and ∠B = 60°. 5 Construct a triangle ABC where BC = 5 cm, ∠B = 30° and AC - AB = 2 cm. 6 Construct a triangle ABC whose perimeter is 12 cm, ∠B = 60°  and ∠C = 45°.