Question

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

Step-by-step explanation:

ANSWER ::

Let ABCD is a rhombus in which AB=BC=CD=DA= CA ( Diagonal)

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

In triangle ABC

BA=BC=CA

SO

angle BAC=angle ABC= angle ACB = 60°

Similarly FROM triangle DAC , DA=DC=CA

SO

Angle DAC=angle ACD=angle ADC= 60°

From above

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

Angle A=angle BAC+angle DAC=60°+60°=120°Angle B= angle ABC = 60°.

Angle A=angle BAC+angle DAC=60°+60°=120°Angle B= angle ABC = 60°.Angle C=angle ACB+angle ACD=60°+60°=120°

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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