the length of PR=12cm and q is a point lies on PR. Find the value of PQ^2+RQ^2+2PQRQ​

Question

the length of PR=12cm and q is a point lies on PR. Find the value of PQ^2+RQ^2+2PQRQ​

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Margaret 2 months 2021-12-03T07:32:09+00:00 1 Answer 0 views 0

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    2021-12-03T07:34:04+00:00

    \textbf{Given:}

    \text{PR=12 cm and Q is a point lies on PR}

    \textbf{To find:}

    \text{The value of $PQ^2+RQ^2+2PQ\,RQ$}

    \textbf{Solution:}

    \text{Since PR=12 cm and Q is a point lies on PR, we have}

    PQ+QR=12\,text{cm}

    \text{Now,}

    PQ^2+RQ^2+2PQ\,RQ

    \text{Using the identity,}\,\boxed{a^2+b^2+2ab=(a+b)^2}

    \text{we get}

    =(PQ+RQ)^2

    =(12)^2

    =144\,\text{cm}

    \textbf{Answer:}

    \textbf{The value of $\bf\,PQ^2+RQ^2+2PQ\,RQ$ is 144 cm}

    .

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