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Question

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

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Solution

Steps of construction :

(i) Draw a line segment BC = 7 cm.

(ii) At B, draw a ray BX making an angle of 60 and cut off BE = 12 cm.

(iii) Join EC.

(iv) Draw the perpendicular bisector of EC which intersects BE at A.

(v) Join AC.

ABC is the required triangle.


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