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In the figure, /DFE=90^(@), seg FG bot s...

In the figure, `/_DFE=90^(@)`, seg `FG bot` side `DE`, `DG=8`, `FG=12` then complete the following activity to find the length of seg `DE`.

In `DeltaDFE`, `/_DFE=90^(@)`,
seg `FG bot` hypotenuse `DE`
`:.` by theorem of geometric mean,
`FG^(2)=squarexxEG`
`:.12^(2)=squarexxEG`
`EG=(12xx12)/(square)`
`:.EG=square`
`DE=DG+GE=8+square=square`

Text Solution

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In `DeltaDFE`, `/_DFE=90^(@)`,
seg `FG bot` hypotenuse `DE`
`:.` by theorem of geometric mean,
`FG^(2)=DGxxEG`
`:.12^(2)=8xxEG`
`EG=(12xx12)/(8)`
`:.EG=18`
`DE=DG+GE=8+18=26`
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