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

Construct the ΔLMN such that LM = 7.5 cm, MN = 5 cm and LN = 8 cm. Locate its centroid - Mathematics

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Question

Construct the ΔLMN such that LM = 7.5 cm, MN = 5 cm and LN = 8 cm. Locate its centroid

Diagram

Solution


Steps for construction:

Step 1: Draw the ΔLMN using the given measurement LM = 7.5 cm, MN = 5 cm and LN = 8 cm.

Step 2: Construct the perpendicular bisectors of any two sides LM and MN intersect LM at P and MN at Q respectively.

Step 3: Draw the median LQ and PN meet at G.

The point G is the centroid of the given ΔLMN.

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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 1 | Page 177
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