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Question
Draw a right angled Δ XYZ. Draw its medians and show their point of concurrence by G.
Solution
Steps of construction:
- Draw a right angled ∆XYZ.
- Draw the perpendicular bisector PQ of side YZ that intersect YZ at L.
- Join XL. XL is the median to the side YZ.
- Draw the perpendicular bisector TU of side ZX that intersect YZ at M.
- Join YM. YM is the median to side ZX.
- Draw the perpendicular bisector RS of side XY that intersect XY at N.
- Join ZN. ZN is the median to the side XY.
Hence, ∆XYZ is the required triangle in which medinas XL, YM and ZN to the sides YZ, ZX and XY respectively, intersect at G.
The point G is the centroid of ∆XYZ..
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