Triangle calculator

Please enter what you know about the triangle:
You have entered side b, c and angle α.

Obtuse scalene triangle.

Sides: a = 55.90215617376   b = 111   c = 125

Area: T = 3102.214387426
Perimeter: p = 291.9021561738
Semiperimeter: s = 145.9510780869

Angle ∠ A = α = 26.562° = 26°33'43″ = 0.46435943559 rad
Angle ∠ B = β = 62.61114841982° = 62°36'41″ = 1.09327765488 rad
Angle ∠ C = γ = 90.82765158018° = 90°49'35″ = 1.58552217489 rad

Height: ha = 110.988845105
Height: hb = 55.89657454822
Height: hc = 49.63554219882

Median: ma = 114.8555360558
Median: mb = 79.33994120369
Median: mc = 61.78797887853

Inradius: r = 21.2555205733
Circumradius: R = 62.50765034639

Vertex coordinates: A[125; 0] B[0; 0] C[25.71659384188; 49.63554219882]
Centroid: CG[50.23986461396; 16.54551406627]
Coordinates of the circumscribed circle: U[62.5; -0.90216514221]
Coordinates of the inscribed circle: I[34.95107808688; 21.2555205733]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.438° = 153°26'17″ = 0.46435943559 rad
∠ B' = β' = 117.3898515802° = 117°23'19″ = 1.09327765488 rad
∠ C' = γ' = 89.17334841982° = 89°10'25″ = 1.58552217489 rad

How did we calculate this triangle?

1. Input data entered: side b, c and angle α. 2. Calculation of the third side a of the triangle using a Law of Cosines Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. 3. The triangle circumference is the sum of the lengths of its three sides 4. Semiperimeter of the triangle 5. The triangle area using Heron's formula 6. Calculate the heights of the triangle from its area. 7. Calculation of the inner angles of the triangle using a Law of Cosines     