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Question

Jayanti travels from A to B, either by walking the straight path AB or walking the zig-zag path. The straight path AB is 200 m long. The zig-zag path forms two equilateral triangles with the straight line path. What will be the length of the zig-zag path?


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Solution

Ans. 400m

The other path, zig- zag, path has been formed by two equal sides of two different equilateral triangles.
Whereas, the straight line path
AB = sum of one side of two different equilateral triangles.

Therefore, the length of other(zig-zag) path
= 2 (AB)
= 2 (200)
= 400 m


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