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In the given figure, ∠BCA = ∠CDA = 90°, then the value of CDAD\dfrac{CD}{AD} is :

  1. BCCA\dfrac{BC}{CA}

  2. BDAD\dfrac{BD}{AD}

  3. BDCD\dfrac{BD}{CD}

  4. CABC\dfrac{CA}{BC}

In the given figure, ∠BCA = ∠CDA = 90°, then the value of CD/AD is. Model Paper 3, Concise Mathematics Solutions ICSE Class 10.

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Answer

In △ADC and △ABC, we get :

∠BCA = ∠CDA = 90°

∠CAD = ∠BAC [Common]

△ADC ~ △ABC [By AA axiom]

We know that,

Ratio of corresponding sides of similar triangle are proportional to each other.

CDAD=BCCA.\therefore \dfrac{CD}{AD} = \dfrac{BC}{CA}.

Hence, Option 1 is the correct option.

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