Q2 of 9 Page 127

Construct the orthocentre of ΔLMN, where LM = 7 cm, ∠M = 130° and MN = 6cm.

Rough Diagram:



Construction Steps:


Step 1: Draw the ΔLMN with the given measurements.



Step 2: Construct altitudes from any two vertices (M and N) to their opposite sides (LN and LM) respectively.



The point of intersection of the altitudes H is the orthocenter of the given ΔLMN.


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Draw ΔABC with sides AB = 8 cm, BC = 7 cm and AC = 5 cm and construct its orthocentre.

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Construct an equilateral triangle of sides 6 cm and locate its orthocentre.

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