Q5 of 95 Page 6

In the given figure, QA and PB are perpendiculars to AB. If AO = 10 cm, BO = 6 cm and PB = 9 cm, find AQ.


Let us take OAQ and OBP


∠AOQ = ∠BOP (vertically opposite angles)


∠OAQ = ∠OBP (each 90°)


∴ OAQ ~OBP (by AA similarity criterion)


Given: AO = 10 cm, BO = 6 cm and PB = 9 cm


As, OAQ ~OBP




⇒AQ = 15cm


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