Rough Diagram

∆PQR with sides PQ = 7 cm,
QR = 8 cm,
PR = 5 cm.
Construction:
(i) Draw the ∆PQR with the given measurements.
(ii) Construct altitudes from any two vertices (R and P) to their opposite sides (PQ and QR) respectively.
(iii) The point of intersection of the altitude H is the Orthocentre at the given ∆PQR.