draw any obtuse angled triangle. And construct the perpendicular bisector of its 3 sides. Where does the point of concurrence lie and name the point of concurrence
Answers
Given : obtuse angled triangle
To Find : construct the perpendicular bisector of its 3 sides.
name the point of concurrence
Solution:
Step 1 : Draw a line segment AB
Step 2 : Draw an angle between 90° and 180° on B at AB
Step 3 : Take any point C on angle Drawn
Step 4 : Join AC
Obtuse angled triangle is constructed
Construct perpendicular bisector of AB
Step 5 : Using Compass width Slightly less than AB , taking A as center draw arcs on both sides of AB
Step 6 : Keeping compass width same , taking B as center draw arcs on both sides of AB such that it intersects arc drawn in previous step at P & Q
Step 7 : Join PQ and draw a line
This is perpendicular bisector of AB
Similarly draw perpendicular bisector of BC & AC
which meets at point O
the point of concurrence is called circumcenter
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