Draw an acute angled ∆ STV. Draw its medians and show the centroid.
Answers
Given: Angle acute angled ΔSTV
To find: Draw its median and show the centroid
Step 1:
Draw a line segment ST of any length
Step 2:
Draw a line segment SV in such a way that angle is lesser than 90°
Step 3:
Join TV, Acute angled triangle STV is drawn
Step 4:
Find the midpoint of ST by drawing perpendicular bisector. Using compass width slightly less than ST and taking S & T as centre draw arcs on both side intersecting each other,
Draw a line passing through these points and intersecting ST at A
Join VA
Step 5:
Similar to step 4 , construct perpendicular bisector of SV & draw Median TB and construct perpendicular bisector of TV and draw median SC
Step 6:
Label point of concurrence of Median as G , which is centroid
Final diagram in attachment!!
Note:-
VA , TB & SC are Median concurrent at centroid G
Answer:
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