Question

Construct a triangle using the following data: DE + EF = 10.3 cm, EF = 6.4 cm and ∠E = 75°

Answer 1

DE + EF = 10.3 cm, EF = 6.4 cm and ∠E = 75°

Steps of construction:
1. Draw a line segment EF = 6.4 cm.
2. With E as centre, construct ∠SEF = 75°
3. Cut ET = 10.3 cm on ES.
4. Join TF.
5. Draw perpendicular bisector of TF which cuts ET at D.
6. Join DF.
Thus DEF is the required triangle.