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

Construct the ΔPQR such that PQ = 5 cm, PR = 6 cm and ∠QPR = 60° and locate its centroid - Mathematics

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Question

Construct the ΔPQR such that PQ = 5 cm, PR = 6 cm and ∠QPR = 60° and locate its centroid

Diagram

Solution


Steps for construction:

Step 1: Draw ΔPQR using the given measurements PQ = 5 cm, PR = 6 cm and ∠P = 60°.

Step 2: Construct the perpendicular bisectors of any two sides PQ and QR to find the mid-points of M and N respectively.

Step 3: Draw the median PN and MR and let them meet at G.

The point G is the centroid of the given ΔPQR.

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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 4 | Page 177
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