Question:
Using rulers and compasses only, construct a △ABC from the following data: AB + BC + CA = 12 cm, ∠B = 45° and ∠C = 60°
Solution:
Steps of Construction:
1. Draw a line segment XY of 12 cm.
2. Draw ∠DXY = 45° and ∠EYX = 60°.
3. Draw the angle bisectors of ∠DXY and ∠EYX which intersect each other at A.
4. Draw the perpendicular bisector of AX and AY which intersect XY at B and C respectively.
5. Join AB and AC.
Hence △ABC is the required triangle.
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