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

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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.....





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