Parallelogram

The sides of the parallelogram are 8 cm and 6 cm long, and the diagonals' angle is 60°. What is its area?

Correct answer:

S =  66.954 cm2

Step-by-step explanation:

a=8 cm b=6 cm  X=60 ∘ Y=180−X=180−60=120 ∘  S1​ = Δ BCS = b−b−b S2​ = Δ BSA = a−b−b  S1​=3​/4⋅ b2=3​/4⋅ 62=9 3​ cm2≐15.5885 cm2  s=2a+b+b​=28+6+6​=10 cm  S2​=s⋅ (s−a)⋅ (s−b)⋅ (s−b)​=10⋅ (10−8)⋅ (10−6)⋅ (10−6)​=8 5​ cm2≐17.8885 cm2  S=2⋅ S1​+2⋅ S2​=2⋅ 15.5885+2⋅ 17.8885=66.954 cm2

Try another example


Did you find an error or inaccuracy? Feel free to write us. Thank you!



Showing 1 comment:
Math student
I have calculated the altitude h=3,0310889133...(angle between p and q is 60°)
The area of parallelogram a=8; b=6; h=3,0310889133...is a*h=24,24871131.....





Tips for related online calculators
Are you looking for help with calculating roots of a quadratic equation?
Do you have a system of equations and looking for calculator system of linear equations?
See also our right triangle calculator.
Cosine rule uses trigonometric SAS triangle calculator.
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:

Grade of the word problem:


 
We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: