Triangle calculator SSA

Please enter two sides and a non-included angle
°


Triangle has two solutions with side c=170.0911070979 and with side c=11.17704864286

#1 Obtuse scalene triangle.

Sides: a = 100   b = 90   c = 170.0911070979

Area: T = 3594.187963773
Perimeter: p = 360.0911070979
Semiperimeter: s = 180.0465535489

Angle ∠ A = α = 28.00767673296° = 28°24″ = 0.48988103027 rad
Angle ∠ B = β = 25° = 0.4366332313 rad
Angle ∠ C = γ = 126.993323267° = 126°59'36″ = 2.21664500378 rad

Height: ha = 71.88435927546
Height: hb = 79.87106586163
Height: hc = 42.26218261741

Median: ma = 126.5522306235
Median: mb = 132.0622433013
Median: mc = 42.62992961862

Inradius: r = 19.96326146128
Circumradius: R = 106.4799071242

Vertex coordinates: A[170.0911070979; 0] B[0; 0] C[90.63107787037; 42.26218261741]
Centroid: CG[86.90772832275; 14.08772753914]
Coordinates of the circumscribed circle: U[85.04655354893; -64.07106602577]
Coordinates of the inscribed circle: I[90.04655354893; 19.96326146128]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.993323267° = 151°59'36″ = 0.48988103027 rad
∠ B' = β' = 155° = 0.4366332313 rad
∠ C' = γ' = 53.00767673296° = 53°24″ = 2.21664500378 rad




How did we calculate this triangle?

1. Use Law of Cosines


Fatal error: Uncaught Error: Class 'TexPNG' not found in /nfsmnt/hosting1_1/1/f/1f5dde43-2431-429d-b7d6-b283e5dc0656/triangle-calculator.com/web/Calculator_Triangle.php:2318 Stack trace: #0 /nfsmnt/hosting1_1/1/f/1f5dde43-2431-429d-b7d6-b283e5dc0656/triangle-calculator.com/web/Calculator_Triangle.php(1869): Calculator_Triangle->ComputeTriangle(100, 90, 170.091070979, '<br />', NULL, '#1 ', Array, '', Array) #1 /nfsmnt/hosting1_1/1/f/1f5dde43-2431-429d-b7d6-b283e5dc0656/triangle-calculator.com/web/Calculators.php(1086): Calculator_Triangle->TriangleForm('Triangle calcul...') #2 /nfsmnt/hosting1_1/1/f/1f5dde43-2431-429d-b7d6-b283e5dc0656/triangle-calculator.com/web/Calculators.php(2225): Calculators->Router('triangle', 'Triangle calcul...', 'Geometry') #3 /nfsmnt/hosting1_1/1/f/1f5dde43-2431-429d-b7d6-b283e5dc0656/triangle-calculator.com/web/index_real.php(490): Calculators->Run() #4 /nfsmnt/hosting1_1/1/f/1f5dde43-2431-429d-b7d6-b283e5dc0656/triangle-calculator.com/web/index_real.php(771): HackMath->Run() #5 /nfsmnt/hostin in /nfsmnt/hosting1_1/1/f/1f5dde43-2431-429d-b7d6-b283e5dc0656/triangle-calculator.com/web/Calculator_Triangle.php on line 2318