Triangle calculator SSA

Please enter two sides and a non-included angle
°


Triangle has two solutions with side c=156.8898874987 and with side c=56.09106565283

#1 Acute scalene triangle.

Sides: a = 130   b = 90   c = 156.8898874987

Area: T = 5849.205451817
Perimeter: p = 376.8898874987
Semiperimeter: s = 188.4444437493

Angle ∠ A = α = 55.94548867294° = 55°56'42″ = 0.97664224731 rad
Angle ∠ B = β = 35° = 0.61108652382 rad
Angle ∠ C = γ = 89.05551132706° = 89°3'18″ = 1.55443049423 rad

Height: ha = 89.98877618181
Height: hb = 129.9822322626
Height: hc = 74.56549367256

Median: ma = 110.1465628816
Median: mb = 136.8655114428
Median: mc = 79.66547364041

Inradius: r = 31.03994119135
Circumradius: R = 78.45551058029

Vertex coordinates: A[156.8898874987; 0] B[0; 0] C[106.4989765758; 74.56549367256]
Centroid: CG[87.79328802481; 24.85549789085]
Coordinates of the circumscribed circle: U[78.44444374934; 1.29437746692]
Coordinates of the inscribed circle: I[98.44444374934; 31.03994119135]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 124.0555113271° = 124°3'18″ = 0.97664224731 rad
∠ B' = β' = 145° = 0.61108652382 rad
∠ C' = γ' = 90.94548867294° = 90°56'42″ = 1.55443049423 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(130, 90, 156.888874987, '<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