Find the corners of a rhombus if its smaller diagonal is equal to its side.
| May 5, 2021 | education
You are given a rhombus whose smaller diagonal is equal to its side.
Recall that a rhombus is a parallelogram in which all sides are equal.
The smaller diagonal of the rhombus divides it initially into two equal isosceles triangles, and since the smaller diagonal is equal to the side, the triangles become equilateral.
Equilateral triangles have all angles of 60 °.
One of these angles is the angle of the rhombus, the opposite angle is also 60 °.
Accordingly, the other two angles are 120 ° each.
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