Maharashtra State BoardSSC (English Medium) 8th Standard
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Draw an Obtuse Angled δ Stv. Draw Its Medians and Show the Centroid. - Mathematics

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.

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APPEARS IN

Balbharati Mathematics 8th Standard Maharashtra State Board
Chapter 4 Altitudes and Medians of a triangle
Practice Set 4.1 | Q 3 | Page 22
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