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faltersainse [42]
3 years ago
14

PLS CAN SOMEONE HELP ME PLS

Mathematics
1 answer:
EastWind [94]3 years ago
7 0

Answer:

20 m

Step-by-step explanation:

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

By geometric mean property:

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

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