Q. 10

Construct a triangle ABC where base BC = 8 cm, CA + AB = 15 cm and ∠B = 60°.

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.

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