Construct a circumcircle for triangle ABC, where AB = BC = CA=6Cm. Write steps of construction also.
Answers
Given : triangle ABC, where AB = BC = CA=6Cm
To Find : Construct a circumcircle for triangle ABC
Solution:
Step 1 : Draw a line segment AB = 6 cm
Step 2 : Using Compass taking width = 6 cm Draw intersecting arcs taking A & B as center at C
Step 3: join AC & BC
To Draw circumcircle
Construct preopercular bisector of any two sides
Construct perpendicular bisector of AB :
Using suitable compass width draw arcs on both sides of AB taking A as center
Keeping compass width same and taking B as center draw arc such that in intersects arc drawn in previous step at M & N
Draw a a line passing through M & N
Similarly draw perpendicular bisector of BC
Both perpendicular bisector meets at O
Using Compass width = OA = OB = OC , draw a circle
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