Q1 of 9 Page 127

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

Rough Diagram:


geogebra-export.png


Construction Steps:


Step 1: Draw the ΔABC with the given measurements.


geogebra-export.png


Step 2: Construct altitudes from any two vertices (A and C) to their opposite sides (BC and AB) respectively.



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


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