Isosceles

Isosceles trapezium ABCD ABC = 12 angle ABC = 40 ° b=6. Calculate the circumference and area.

Correct result:

o =  26.8075
S =  28.5542

Solution:

a=12 b=6 B=40∘  x=b⋅ cos⁡B∘=b⋅ cos⁡40∘ =6⋅ cos⁡40∘ =6⋅ 0.766044=4.59627 c=a−2⋅ x=12−2⋅ 4.5963≐2.8075  o=a+2⋅ b+c=12+2⋅ 6+2.8075=26.8075
h=b⋅ sin⁡B∘=b⋅ sin⁡40∘ =6⋅ sin⁡40∘ =6⋅ 0.642788=3.85673 S=a+c2⋅ h=12+2.80752⋅ 3.8567=28.5542

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