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Question
Draw an obtuse angled Δ STV. Draw its medians and show the centroid.
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Solution
Steps of construction:
- Draw an obtuse, angled ∆ STV.
- Draw the perpendicular bisector AB of side TV that intersects side TV at L. L is the mid point of TV.
- Join SL, where SL is median to the side TV.
In the same manner, obtain the mid points M and N of sides SV and ST, respectively. - Join TM and VN.
Hence, ∆ STV is the required triangle in which the medians SL, TM and VN to the sides TV, SV and ST respectively intersect at point G.
The point G is the centroid of ∆ STV.
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