Q1 of 33 Page 11

Construct a triangle ABC in which BC = 4.6 cm, ∠B = 45° and AB + CA = 8.2 cm.

                          
Steps of Construction
1. Draw a ray BX and cut off a line segment BC = 4.6 cm from it.
2. Construct ∠XBY = 45°.
3. From BY cut off a line segment BD = 8.2 cm.
4. Join CD.
5. Draw the perpendicular bisector 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°. 4  Construct a triangle ABC in which BC = 4.5 cm,  ∠B = 45° and AB – AC = 2.5 cm. 5 Construct a triangle ABC where BC = 5 cm, ∠B = 30° and AC - AB = 2 cm.