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