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+1 vote
in Mathematics by (11.0k points)

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

1 Answer

+2 votes
by (18.2k points)
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Best answer

Steps of construction:

1. Draw a line segment BC of 7cm

2. At B, draw an angle XBC of 60o

3. With center B and radius 1 2 , cm draw an arc which intersects BX at D.

4. Join DC

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

6. Join AC

Therefore Δ ABC is the required triangle.

by (10.6k points)
process is ok but traces of construction are not shown.

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