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Sum

Draw an obtuse angled Δ 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.

Concept: Median of a Triangle

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