# Triangle calculator SAS

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

### Obtuse scalene triangle.

Sides: a = 360   b = 250   c = 207.0598535057

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

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

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

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

Inradius: r = 61.59657843324
Circumradius: R = 185.1410524649

Vertex coordinates: A[207.0598535057; 0] B[0; 0] C[265.5610743269; 243.0598617692]
Centroid: CG[157.5439759442; 81.02195392307]
Coordinates of the circumscribed circle: U[103.5299267529; 153.4888451137]
Coordinates of the inscribed circle: I[158.5299267529; 61.59657843324]

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