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Question

Construct triangle ABC in which BC = 5 cm, AB − AC = 2.8 cm and B = 40°.

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Solution

Steps of construction:

Step I: Draw line segment BC = 5 cm and at point B, draw an angle of measure 40°, say ÐXBC.

Step II: Cut line segment BD = 2.8 cm (= AB − AC) from ray BX.

Step III: Join DC and draw the perpendicular bisector PQ of DC.

Step IV: Let it intersect BX at point A. Join AC. ΔABC is the required triangle.


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