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

The angle of an equilateral triangle is

Which triangle can be constructed with a single independent measurement-

Two points A and B are selected at random on a segment of length l. Find the probability that a triangle can be constructed from these three segments.

Compare the areas of two equilateral triangles which are constructed on side of a square and its diagonal.

In an equilateral triangle , find ( r ) /( R )

Construct an equilateral triangle XYZ of side 5 cm and construct another triangle similar to DeltaXYZ , such that each of its sides is 4//5 of the sides of DeltaXYZ .

In the figure, DeltaABC is an isosceles triangle right angled at B. Two equilateral triangles are constructed with sides AC and BC. Then DeltaBCD =