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:

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$$\begin{gathered} v=110\cdot \sin (130^{\circ })=84.26cm \\ {a}_2=51-110\cdot \cos (130^{\circ })=121.71cm \\ c=\sqrt{v^2+a_2^2}=148.03cm \\ S={\displaystyle \frac{51\cdot v}{2}}=2148.75c{m}^2 \\ p=a+b+c=309.03cm \end{gathered}$$

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