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c) In the adjoining figure, ABC is right angled triangle with \( \left| B A C = 90 ^ { \circ } . A D \perp B C\right. \) i) Prove that \( \Delta A D B \sim \Delta C D A \) ii) If \( B D = 18 c m . C D = 8 c m . \) find \( A D \) iii) Find the ratio of Area of \( ( \Delta A D B : \Delta C D A \)
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