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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.

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