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olchik [2.2K]
3 years ago
5

1

Mathematics
1 answer:
tangare [24]3 years ago
4 0

Answer:

Distance between cities Y and Z = 26 miles

Step-by-step explanation:

From the picture attached,

Length of XY = 10 mi

Length of XZ = 24 mi

By applying Pythagoras theorem in the given right triangle XYZ,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

YZ² = XY² + XZ²

      = 10² + 24²

      = 100 + 576

      = 676

YZ = √676

     = 26 mi

Therefore, distance between cities Y and Z is 26 mi.

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