Question

Construct a triangle using the given data: XY - XZ = 1.5 cm, YZ = 3.4 cm and ∠X = 45°

Answer 1

XY - XZ = 1.5 cm, YZ = 3.4 cm and ∠X = 45°

Steps of Construction:
1. Draw a line segment YZ = 3.4 cm.
2. With Y as centre, draw ∠TYZ = 45°.
3. From YT, cut YS = 1.5 cm.
4. Join S and Z.
5. Draw perpendicular bisector of SZ which cuts YT at X.
6. Join XZ.
Thus, XYZ is the required triangle.