Triangle SAS

Calculate the triangle area and perimeter if the two sides are 105 dm and 68 dm long and angle them clamped is 50 °.

Correct answer:

A =  2734.7787 dm
o =  253.4363 dm

Step-by-step explanation:

a=105 dm b=68 dm γ=50   sinγ=h:b  h=b sinγ=b sin50° =68 sin50° =68 0.766044=52.09102 dm  A=2a h=2105 52.091=2734.7787 dm
a1+a2=a cosγ=a1:b  a1=b cosγ=b cos50° =68 cos50° =68 0.642788=43.70956 dm a2=aa1=10543.709661.2904 dm  c2=h2+a22  c=h2+a22=52.0912+61.2904280.4363 dm  o=a+b+c=105+68+80.4363=253.4363 dm

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