# Triangle calculator SAS

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

### Right scalene triangle.

Sides: a = 500   b = 1886   c = 1951.152247995

Area: T = 471500
Perimeter: p = 4337.152247995
Semiperimeter: s = 2168.576623997

Angle ∠ A = α = 14.84881879762° = 14°50'53″ = 0.25991497681 rad
Angle ∠ B = β = 75.15218120238° = 75°9'7″ = 1.31216465587 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 1886
Height: hb = 500
Height: hc = 483.3044103442

Median: ma = 1902.497730617
Median: mb = 1067.356607929
Median: mc = 975.5766239973

Inradius: r = 217.4243760027
Circumradius: R = 975.5766239973

Vertex coordinates: A[1951.152247995; 0] B[0; 0] C[128.1299401761; 483.3044103442]
Centroid: CG[693.0943960569; 161.1011367814]
Coordinates of the circumscribed circle: U[975.5766239973; -0]
Coordinates of the inscribed circle: I[282.5766239973; 217.4243760027]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 165.1521812024° = 165°9'7″ = 0.25991497681 rad
∠ B' = β' = 104.8488187976° = 104°50'53″ = 1.31216465587 rad
∠ C' = γ' = 90° = 1.57107963268 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    