Angle of diagonals

Calculate the perimeter and the area of a rectangle if its diagonal is 14 cm and the diagonals form an angle of 130°.

Correct answer:

o =  37.2099 cm
S =  75.0724 cm2

Step-by-step explanation:

u=14 cm α=130  β=α/2=130/2=65  sinβ=a:u=12.6883:14=0  a=u sinβ=u sin65 =14 sin65 =14 0.906308=12.68831 cm  cosβ=b:u=5.9167:14=0  b=u cosβ=u cos65 =14 cos65 =14 0.422618=5.91666 cm  o=2 (a+b)=2 (12.6883+5.9167)=37.2099 cm
S=a b=12.6883 5.9167=75.0724 cm2

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See also our trigonometric triangle calculator.

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