Q3 of 7 Page 22

Draw an obtuse-angled ∆STV. Draw its medians and show the centroid.

To draw an obtuse-angled ∆STV.


i. Draw a base line of any length, mark it TV. At T draw an obtuse angle mark that line point S. Join S and V points. ΔSTV thus formed is an obtuse angled triangle.



ii. Find the mid-point A of side TV, by constructing the perpendicular bisector of the line segment TV. Draw AS.



iii. Find the mid-point B of side SV, by constructing the perpendicular bisector of the line segment SV. Draw seg BT.



iv. Find the mid-point C of side ST, by constructing the perpendicular bisector of the line segment ST. Draw seg CV.



Seg AS, seg BT and seg CV are medians of ∆STV.


Their point of concurrence is denoted by O.


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