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Using rulers and compasses only, construct a △ABC,

Question:

Using rulers and compasses only, construct a △ABC, given base BC = 7 cm, ∠ABC = 60°,  AB + AC = 12 cm. 

Solution:

Steps of Construction:

1. Construct a line segment BC of 7cm

2. At the point B, draw ∠XBC = 60°.

3. Keeping B as center and radius 12 cm draw an arc which intersects XB at D

4. Join DC

5. Draw the perpendicular bisector of DC which intersects DB at A

6. Join AC

Hence △ABC is the required triangle. 

 

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