In the following figure qa is perpendicular to ab and pb is perpendicular to ab then aq is
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10th
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Triangles
Introduction to Similar Triangles
In given figure, QA and PB ...
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Asked on December 26, 2019 by
Pranavsai Khosla
In given figure, QA and PB are perpendiculars to AB. If AO=10 cm, BO=6 cm and PB=9 cm. Find AQ.
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ANSWER
In triangles AOQ and BOP, we have
∠OAQ=∠OBP [Each equal to 90
∘
]
∠AOQ=∠BOP [Vertically opposite angles]
Therefore, by AA-criterion of similarity
△AOQ∼△BOP
⇒
BO
AO
=
OP
OQ
=
BP
AQ
⇒
BO
AO
=
BP
AQ
⇒
6
10
=
9
AQ
⇒ AQ=
6
10×9
=15cm
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