Question

Find the value of z
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Answer 1

`z = 12 √(5)`

Explanation:

By geometric mean property:

`y = √(24 * 6) \\ \\ y = √(144) \\ \\ y = 12`

By Pythagoras Theorem:

`z = \sqrt{ {12}^(2) + {24}^(2) } \\ \\ z = √(144 + 576) \\ \\ z = √(720) \\ \\ z = 12 √(5)`