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In figure, ABC is triangle in which ang...

In figure, ABC is triangle in which `angleABCgt90^@` and `A D_|_C B`produced. Prove that `A C^2=A B^2+B C^2+2B C.B D`.

Text Solution

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`(##X_06_E06_03_s10##)`
Using Pythagoras Theorem In `ΔADC` as `∠ADC = 90°`
`AC^2 = AD^2 + DC^2`
`AC^2 = AD^2 + [BC - BD]^2`
...
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