Triangle SAS

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

Correct result:

perimeter:  309.03 cm
triangle area:  2148.75 cm2

Solution:


Try calculation via our triangle calculator.

 v=110sin(130)=84.26 cm a2=51110cos(130)=121.71 cm c=v2+a22=148.03 cm  S=51v2=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.

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

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