Triangle calculator SAS

Please enter two sides of the triangle and the included angle
°

Acute scalene triangle.

Sides: a = 300   b = 250   c = 261.9566226266

Area: T = 31088.90989708
Perimeter: p = 811.9566226266
Semiperimeter: s = 405.9788113133

Angle ∠ A = α = 71.70223382509° = 71°42'8″ = 1.25114418839 rad
Angle ∠ B = β = 52.29876617491° = 52°17'52″ = 0.91327663886 rad
Angle ∠ C = γ = 56° = 0.97773843811 rad

Height: ha = 207.2599393139
Height: hb = 248.7111271767
Height: hc = 237.3659572735

Median: ma = 207.5110318393
Median: mb = 252.3659925978
Median: mc = 243.094408442

Inradius: r = 76.57877956129
Circumradius: R = 157.9888150922

Vertex coordinates: A[261.9566226266; 0] B[0; 0] C[183.4687798894; 237.3659572735]
Centroid: CG[148.4754675053; 79.12198575782]
Coordinates of the circumscribed circle: U[130.9788113133; 88.34658528281]
Coordinates of the inscribed circle: I[155.9788113133; 76.57877956129]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 108.2987661749° = 108°17'52″ = 1.25114418839 rad
∠ B' = β' = 127.7022338251° = 127°42'8″ = 0.91327663886 rad
∠ C' = γ' = 124° = 0.97773843811 rad

How did we calculate this triangle?

1. Calculation of the third side c 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. 2. The triangle circumference is the sum of the lengths of its three sides 3. Semiperimeter of the triangle 4. The triangle area using Heron's formula 5. Calculate the heights of the triangle from its area. 6. Calculation of the inner angles of the triangle using a Law of Cosines     