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प्रश्न
In Figure, ∠BAC = 90° and AD ⊥ BC. Then, ______.
पर्याय
BD . CD = BC2
AB . AC = BC2
BD . CD = AD2
AB . AC = AD2
उत्तर
In Figure, ∠BAC = 90° and AD ⊥ BC. Then, BD . CD = AD2.
Explanation:
From ∆ADB and ∆ADC,
According to the question, we have,
∠D = ∠D = 90° ...(∵ AD ⊥ BC)
∠DBA = ∠DAC ...[Each angle = 90° – ∠C]
Using AAA similarity criteria,
∆ADB ∼ ∆ADC
`("BD")/("AD") = ("AD")/("CD")`
BD . CD = AD2
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