Answer :

Given: In Δ ABC, base BC = 8 cm, CA + AB = 15 cm and ∠B = 60°.

Required: To construct Δ ABC.

Steps of Construction

1. Draw a ray BX and cut off a line segment BC = 8 cm from it.

2. Construct ∠XBY = 60°.

3. From BY cut off a line segment BD = 15 cm.

4. Join CD.

5. Draw the perpendicular bisector of CD, intersecting BD at a point A.

6. Join AC.

Required: To construct Δ ABC.

Steps of Construction

1. Draw a ray BX and cut off a line segment BC = 8 cm from it.

2. Construct ∠XBY = 60°.

3. From BY cut off a line segment BD = 15 cm.

4. Join CD.

5. Draw the perpendicular bisector of CD, intersecting BD at a point A.

6. Join AC.

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