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In right angled DeltaABC, BDbotAC. If AD...

In right angled `DeltaABC`, `BDbotAC`. If `AD=4`, `DC=9`, then find `BD`.

Text Solution

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In `DeltaABC`, `ABC=90^(@)`…..(Given)
seg `Bdbot` hypotenuse `AC`.
`:.` by the theorem of geometric mean,
`BD^(2)=ADxxDC`
`:.BD^(2)=4xx9`
`:.BD^(2)=36`
`:.BD=6`……(Taking square roots of both the sides)
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