Construct a triangle ABC in which BC = 4.5 cm, ∠B = 45° and AB – AC = 2.5 cm.
Steps of Construction: 1. Draw a ray BX and cut off a line segment BC = 4.5 cm.
2. Construct ∠YBC = 45° 3. Cut off a line segment BD = 2.5 cm from BY.
4. Join CD.
5. Draw perpendicular bisector RS of CD intersecting BY at a point A.
6. Join AC.
Then ABC is the required triangle.
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