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gayaneshka [121]
3 years ago
7

I don't understand this (geometry)

Mathematics
1 answer:
VikaD [51]3 years ago
6 0

Answer:

  v = √(z(w+z))

Step-by-step explanation:

Right triangles in this configuration are all <em>similar</em>. That means the side ratios are <em>proportional</em>, so ...

  long side/hypotenuse = z/v = v/(w+z)

Multiplying this equation by the product of the denominators, we have ...

  z(w+z) = v²

Taking the square root gives ...

  v = √(z(w+z)) . . . . . . matches the last selection

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