Question:
One diagonal of a rhombus is equal to its side.Find all the angles of the rhombus.
Answer:
A rhombus has four equal sides.
If one side has the same length as a diagonal, the diagonal is part of two equilateral triangles.
Let rhombus be ABCD with AB = diagonal AC
So, the triangle ABC is equilateral and angle ABC = 60, Consequently angle BCD = 120
So, two angles are 60° each and the other two are 120° each.
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