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Novosadov [1.4K]
3 years ago
13

Find the value of z​

Mathematics
1 answer:
irina [24]3 years ago
3 0

Answer:

z = 12 \sqrt{5}

Step-by-step explanation:

By geometric mean property:

y =  \sqrt{24 \times 6}  \\  \\ y =  \sqrt{144}  \\  \\ y = 12

By Pythagoras Theorem:

z =  \sqrt{ {12}^{2}  +  {24}^{2} }  \\  \\ z =  \sqrt{144 + 576}  \\  \\ z =  \sqrt{720}  \\  \\ z = 12 \sqrt{5}

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