Triangle SAS

Calculate the area and perimeter of the triangle, if the two sides are 51 cm and 110 cm long and angle them clamped is 130 °.

Result

perimeter:  309.03 cm
triangle area:  2148.75 cm2

Solution:


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 v=110⋅sin⁡(130∘)=84.26 cm a2=51−110⋅cos⁡(130∘)=121.71 cm c=v2+a22=148.03 cm  S=51⋅v2=2148.75 cm2  p=a+b+c=309.03 cm \ \\ v = 110 \cdot \sin(130^\circ) = 84.26 \ cm \ \\ a_2 = 51 - 110 \cdot \cos(130^\circ) = 121.71 \ cm \ \\ c = \sqrt{v^2+a_2^2} = 148.03 \ cm \ \\ \ \\ S = \dfrac{ 51 \cdot v}{2} = 2148.75 \ cm^2 \ \\ \ \\ p = a+b+c = 309.03 \ cm

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Tips to related online calculators
Pythagorean theorem is the base for the right triangle calculator.
Cosine rule uses trigonometric SAS triangle calculator.
See also our trigonometric triangle calculator.

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