Question

One of the diagonals of a Rhombus and its sides are equal . Find the angles of the Rhombus

Answer 1

One of the diagonals of a rhombus is equal to one of its sides.

We know that a rhombus has four equal sides. If one side has the same length as a diagonal, the diagonal is part of two equilateral triangles.Since a rhombus has four sides we can say

Rhombus = ABCD where AB = diagonal of AC
Since the triangle ABC is equilateral and so angle ABC = 60. To solve the problem we can make an equation.

60 + x = 180

Solve

60 + x = 180
180 - 60 = x
x = 120

so, angles of rhombus are:
60,120,60,120
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