Question

If one of the diagonal of a rhombus is equal to its side, find all the angles of the rhombus

Answer 1

All the sides of a rhombus are equal. So if one diagonal is equal to one side, we have 2 equilateral triangles with a common base. Hence all the angles of the 2 triangles are 60 degrees each. Thus one pair of opposite angles of the rhombus is 60 degrees and the other pair 120 degrees.

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