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Question
Draw an obtuse angled △STV.Draw its medians and show the centroid.
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Solution
Steps of construction :
(i) Draw an obtuse angled △STV.
(ii) Draw the perpendicular bisector AB of side TV that intersect side TV at L. L is the mid point of TV.
(iii) 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.
(iv) 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.
Steps of construction :
(i) Draw an obtuse angled △STV.
(ii) Draw the perpendicular bisector AB of side TV that intersect side TV at L. L is the mid point of TV.
(iii) 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.
(iv) 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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