Question

Prove that an equilateral triangle can be constructed on any given line segment.

Answer 1

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Prove that an equilateral triangle can be constructed on any given line segment.

Asked by Topperlearning User4th June 2014, 1:23 PM
Answered by Expert
Answer:
Let x be the length of the sides of an equilateral triangle.

Now in a triangle, sum of any two sides is always greater than the third side.

In this case, Sum of any two sides = x + x = 2x which is more than x.

Hence the construction of an equilateral triangle on any given line segment is possible.




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