Question

Construct a triangle using the following data: XY + YZ = 5.6 cm, XZ = 4.5 cm and ∠X = 45°

Answer 1

XY + YZ = 5.6 cm, XZ = 4.5 cm and ∠X = 45°

Steps of construction:
1. Draw a line segment XZ = 4.5 cm
2. With X as centre, construct ∠SXZ = 45°
3. Cut XT = 5.6 cm on XS.
4. Join TZ.
5. Draw perpendicular bisector of TZ which cuts XT at Y.
6. Join YZ.
Thus XYZ is the required triangle.