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.
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Answer 1

Answer:

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

Hard

Answer

Oneofthediagonalsofarhombusisequaltooneofitssides.

Weknowthatarhombushasfourequalsides.Ifonesidehasthesamelengthasadiagonal,thediagonalispartoftwoequilateraltriangles.Sincearhombushasfoursideswecansay

Rhombus=ABCD,whereAB=diagonalofAC,SincethetriangleABCisequilateralandsoangleABC=60.Tosolvetheproblemwecanmakeanequation.

60+x=180

Solving60+x=180

180−60=x

x=120