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Natanavra · Answer 1 · 2022-07-03T03:22:21+0000

Answer:

20 m

Explanation:

Let the length of the perpendicular dropped from vertex C to segment AB be x

By geometric mean property:

$x = √(16 * 9) \\ \\ x = √(144) \\ \\ x = 12 \: m \\ \\ By \: Pythagoras \: Theorem: \\ \\ Distance \: across \: the \: pond \\ \\ = \sqrt{ {16}^(2) + {12}^(2) } \\ \\ = √(256 + 144) \\ \\ = √(400) \\ \\ = 20 \: m$

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