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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9

Draw and locate the centroid of the triangle ABC where right angle at A, AB = 4 cm and AC = 3 cm - Mathematics

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Question

Draw and locate the centroid of the triangle ABC where right angle at A, AB = 4 cm and AC = 3 cm

Diagram

Solution


Steps for construction:

Step 1: Draw the ΔABC using the given measurement AB = 4 cm and AC = 3 cm and ZA = 90°.

Step 2: Construct the perpendicular bisectors of any two sides AB and AC to find the mid-points P and Q of AB and AC.

Step 3: Draw the medians PC and BQ intersect at G.

The point G is the centroid of the given ΔABC.

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Construction of the Centroid of a Triangle.
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Chapter 4: Geometry - Exercise 4.5 [Page 177]

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Samacheer Kalvi Mathematics [English] Class 9 TN Board
Chapter 4 Geometry
Exercise 4.5 | Q 2 | Page 177
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