A rombus,Whose side is 5.5 cm, has one angle equal to 60°. What will be the length the smaller diagonal?
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Answer :
Given side of rhombus = 5.5 cm and one angle is 60° , As :
Refer to pic above...
∠ BAD = 60° , So BD is smaller diagonal
And
∠ ABC = 120° , We know adjacent angle of rhombus are supplementary .
And Diagonal of rhombus bisect it's angles , So
Diagonal BD bisect ∠ ABC and ∠ ADC , So
∠ ABD = ∠ ADB = 60°
So,
In triangle ABD , all internal angles are at 60° , So triangle ABD is a equilateral triangle , So
AB = BD = DA = 5.5 cm
Then ,
We can say length of smaller diagonal = 5.5 cm ( Ans )
Hope u fynd it helpful..
Mark brainlliest bro!!
Answer :
Given side of rhombus = 5.5 cm and one angle is 60° , As :
Refer to pic above...
∠ BAD = 60° , So BD is smaller diagonal
And
∠ ABC = 120° , We know adjacent angle of rhombus are supplementary .
And Diagonal of rhombus bisect it's angles , So
Diagonal BD bisect ∠ ABC and ∠ ADC , So
∠ ABD = ∠ ADB = 60°
So,
In triangle ABD , all internal angles are at 60° , So triangle ABD is a equilateral triangle , So
AB = BD = DA = 5.5 cm
Then ,
We can say length of smaller diagonal = 5.5 cm ( Ans )
Hope u fynd it helpful..
Mark brainlliest bro!!
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