Answer: QR = 58
By Apollonius theorem,
\[PQ^2 + PR^2 = 2PM^2 + 2QM^2\] \[1600 + 1764 = 2 \times 841 + 2QM^2\] \[3364 - 1682 = 2QM^2\] \[QM^2 = 841,\quad QM = 29\]M is the midpoint of QR, so QR = 2 × 29 = 58.
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Doubtly AI
· 24 Oct 2026
AI-verified · Oct 2026
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