Q. 54.4( 7 Votes )

# 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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