Q4 of 59 Page 65

Construct a triangle LMN in which LM = 7.8 cm, MN = 6.3 cm and ∠LMN = 45°.

We have been given two sides and one angle of triangle LMN.

Steps of construction for this case would be:


1. Draw a line segment sufficiently long using a ruler.



2. Locate points M and N such that MN = 6.3 cm.



3. At M, construct a line segment MX, sufficiently large, such that ∠XMN = 45°; use protractor to measure the angle 45°.



4. With M as centre and radius 7.8 cm, draw a circle or a semicircle or an arc cutting the line segment MX at L using a compass.



5. Join LN.



Thus, LMN is the required triangle.


More from this chapter

All 59 →
2

Construct a triangle PQR in which PQ = 5.4 cm, QR = 5.5 cm and ∠PQR = 55°.

 3

Construct a triangle XYZ in which XY = 5 cm, YZ = 5.5 cm and ∠XYZ = 100°.

 1

Construct a triangle ABC in which AB = 6.5 cm, ∠A = 45° and ∠B = 60°.

 2

Construct a triangle PQR in which QR = 4.8 cm, ∠Q = 45° and ∠R = 55°.