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A surveyor wants to find the distance AB across a lake in the diagram. He locates a point C and the midpoints M and N of AC and BC respectively. By direct measurement, MN = 28 m. It is known that Angle ABC and Angle MNC are similar. Find the distance AB.

A surveyor wants to find the distance AB across a lake in the diagram. He locates-example-1
User Hexinpeter
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AB = 56 because the bigger triangle is 2 times the smaller one.
User Thomas Leu
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