# Triangle calculator SAS

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

### Obtuse scalene triangle.

Sides: a = 53   b = 93   c = 107.8432690168

Area: T = 2464.125464471
Perimeter: p = 253.8432690168
Semiperimeter: s = 126.9211345084

Angle ∠ A = α = 29.43114393103° = 29°25'53″ = 0.51436755196 rad
Angle ∠ B = β = 59.56985606897° = 59°34'7″ = 1.04396675147 rad
Angle ∠ C = γ = 91° = 1.58882496193 rad

Height: ha = 92.98658356495
Height: hb = 52.99219278433
Height: hc = 45.69985010458

Median: ma = 97.14656273402
Median: mb = 71.11545056323
Median: mc = 53.11876857961

Inradius: r = 19.41545802905
Circumradius: R = 53.9329558817

Vertex coordinates: A[107.8432690168; 0] B[0; 0] C[26.84548691962; 45.69985010458]
Centroid: CG[44.89658531214; 15.23328336819]
Coordinates of the circumscribed circle: U[53.9211345084; -0.94112005795]
Coordinates of the inscribed circle: I[33.9211345084; 19.41545802905]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.569856069° = 150°34'7″ = 0.51436755196 rad
∠ B' = β' = 120.431143931° = 120°25'53″ = 1.04396675147 rad
∠ C' = γ' = 89° = 1.58882496193 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    