Question

7. If the length of one side of a rhombus is equal to the length of one diagonal, find the angles of the rhombus. ​

Answer 1

Answer:

If we have the rhombus as one side is equal to the diagonal then we have the rhombus divided into two equilateral triangles. So, other angles are equal as that is a rhombus and two adjacent angles will give us sum as 180∘ .

Answer 2

Step-by-step explanation:

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

Solving 60 + x = 180

180 − 60 = x

x = 120