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 ∘   sin γ = 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 cos γ = a1​:b  a1​=b⋅ cosγ=b⋅ cos50° =68⋅ cos50° =68⋅ 0.642788=43.70956 dm a2​=a−a1​=105−43.7096≐61.2904 dm  c2 = h2 + a22​  c=h2+a22​​=52.0912+61.29042​≐80.4363 dm  o=a+b+c=105+68+80.4363=253.4363 dm

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