Given : In the fig < ACB = 90°. and CD is parallel to AB
to prove: CB²/ CA² = BD/AD
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Answer:
Step-by-step explanation:
On triangleABC and triangleACD
∠ACB = ∠CDA,
∠CDA = CAB
ΔABC and ΔACD
AC/AB=AD/AC
AC²= AB×AD
similarly ΔBCD and ΔBAC
BC/BA = BD/BC
BC²= BA×BD
∴ ÷ BC² and AC² we get
BC²/AC²=AB×BD/AB×AD
∴ BC²/AC² =BD/AD
Step-by-step explanation:
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