1.

2. A rhombus is such that one of its diagonals is equalto the side of the rhombus. Find the angles of therhombus.​

Answer»

Let ABCD is a rhombus in which AB=BC=CD=DA=diagonal CA.

In triangle BAC

BA=BC=CA , therefore

ANGLE BAC=angle ABC= angle ACB =60°………(1)

Similarly in triangle DAC , DA=DC=CA , therefore

Angle DAC=angle ACD=angle ADC=60°……….(2)

From eqn. (1) and (2)

Angle A=angle BAC+angle DAC=60°+60°=120°

Angle B= angle ABC = 60°.

Angle C=angle ACB+angle ACD=60°+60°=120°

Angle D =angle ADC=60°.


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