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Draw and locate the Orthocentre of a right triangle PQR where PQ = 4.5 cm, QR = 6 cm and PR = 7.5 cm.

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Rough diagram

Right triangle PQR where PQ = 4.5 cm, QR = 6 cm and PR = 7.5 cm.

Construction: 

(i) Draw the ∆PQR with the given measurements.

(ii) Construct altitudes from any two vertices R and Q, to their opposite sides PQ and PR respectively. 

(iii) The point of intersection of the altitude H is the orthocentre of the given ∆PQR.

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