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Complete the following activity to find ...

Complete the following activity to find the length of median `AQ` on side `BC`, if `AB^(2)+AC^(2)=122` and `BQ=5`.

In `DeltaABC`,
seg `AQ` is the median,
`AB^(2)+square=2AQ^(2)+2BQ^(2)`…….(Apollonius theorem)
`:.122=2AQ^(2)+2(5)^(2)`
`:.2AQ^(2)=122-square`
On simplifying, `:.AQ^(2)=square`
`:.AQ=square`........(Taking square roots on both the sides)

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