Question

if the sides of a rhombus is 6 and one of the angle of its of the Rhombus is 60 degree find the area of the Rhombus with give a good explanation detailed explanation to be the brainliest
answer

Answer 1

Hey!!!

Here is your answer____________

 Using trigonometry

If you are familiar with trigonometry, there is a handy formula when you know the length of a side and any angle:

area=s^2 sin a

where,
s is the length of any side

a is any interior angle

sin  is the sine function 
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given,

side of Rhombus is 6 unit ie. s = 6 unit

angle of Rhombus is 60° ie. a = 60°

area of rhombus (A),

A = s^2 x sin60°

A = (6)^2 x root3/2

A = 6 x 6 x root3/2

A = 6 x 3 x root3

A = 18 x root3 sq.unit

A = 18 x 1.732 sq.unit

A = 31.176 sq.unit

Hence, area of given rhombus is ,

A = 18 x root3 sq.unit

OR

A = 31.176 sq.unit
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Hope this answer will help u....