Question

One of the diagonal of a rhombus is equal to its side its larger angle is

Answer 1

Answer:

equal...,....................

Answer 2

The angles of the rhombus ABCD are 120°,60°, 120°,60°.

Step-by-step explanation:

Let ABCD is a rhombus

AC and BD are the diagonal such that AC is equal all sides of the rhombus

AB=BC=CD=DA=AC

in triangle ABC

AB=BC=CA (given )

therefore ABC is an equilateral traingle

so ,

$\angle CAB = \angle ABC = \angle ACB = 60^\circ$...(1)

(angles of the equilateral triangle )

similarly in traingle ADC

we get

$\angle CAD = \angle ADC = \angle ACD = 60^\circ$..(2)

Then ,

$\angle BAD = \angle BAC + \angle CAD = 60^\circ+60^\circ= 120^\circ$..(3)

$\angle BCD = \angle BCA + \angle ACD = 60^\circ+60^\circ= 120^\circ$..(4)

from all the equations 1,2,3,4

we get

The angles of the rhombus ABCD are 120°,60°, 120°,60°.

#Learn more:

The area of a rhombus is 300units. the ratio of length of its diagonal is 3 2 . the length of its larger diagonal is

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