Q. 55.0( 2 Votes )

Construct an isosceles triangle ABC with sides AB = BC = 6 cm and B = 80° and locate its orthocentre.

Answer :

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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