Triangle calculator SAS

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

Obtuse scalene triangle.

Sides: a = 250   b = 360   c = 207.0598535057

Area: T = 25163.68106562
Perimeter: p = 817.0598535057
Semiperimeter: s = 408.5299267529

Angle ∠ A = α = 42.46767959259° = 42°28' = 0.74111854117 rad
Angle ∠ B = β = 103.5333204074° = 103°32' = 1.80769952962 rad
Angle ∠ C = γ = 34° = 0.59334119457 rad

Height: ha = 201.3099445249
Height: hb = 139.7988225868
Height: hc = 243.0598617692

Median: ma = 265.7288467557
Median: mb = 142.4311100782
Median: mc = 292.1165885848

Inradius: r = 61.59657843324
Circumradius: R = 185.1410524649

Vertex coordinates: A[207.0598535057; 0] B[0; 0] C[-58.50222082118; 243.0598617692]
Centroid: CG[49.51987756152; 81.02195392307]
Coordinates of the circumscribed circle: U[103.5299267529; 153.4888451137]
Coordinates of the inscribed circle: I[48.52992675287; 61.59657843324]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 137.5333204074° = 137°32' = 0.74111854117 rad
∠ B' = β' = 76.46767959259° = 76°28' = 1.80769952962 rad
∠ C' = γ' = 146° = 0.59334119457 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     