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yuradex [85]
2 years ago
9

Please assist me with this problem

Mathematics
1 answer:
valentina_108 [34]2 years ago
4 0

Answer:

  x = 192

Step-by-step explanation:

The three right triangles in the figure are all similar, so their sides are proportional.

<h3>Proportion</h3>

The length marked x is the long side of the smallest triangle, and the short side of the middle-size triangle. The long side of the middle-size triangle is ...

  400 -144 = 256

We now have enough information to write the proportion ...

  long side/short side = x/144 = 256/x

Multiplying by 144x gives ...

  x² = (144)(256)

  x = √(144×256) = 12×16 = 192

The length x is 192 units.

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