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Answer:
[tex] m = \sqrt{125} [/tex]
Step-by-step explanation:
By geometric mean property:
[tex] {n}^{2} = 5 \times 20 \\ {n}^{2} = 100 \\ \\ By \: Pythagoras \: Theorem \\ {m}^{2} = {n}^{2} + {5}^{2} \\ {m}^{2} = 100 + 25 \\ {m}^{2} = 125 \\ m = \sqrt{125} [/tex]