# Triangle calculator SAS

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

### Obtuse scalene triangle.

Sides: a = 8.5   b = 7.7   c = 13.67697011841

Area: T = 29.65989223308
Perimeter: p = 29.87697011841
Semiperimeter: s = 14.9354850592

Angle ∠ A = α = 34.30219457746° = 34°18'7″ = 0.59986818936 rad
Angle ∠ B = β = 30.69880542254° = 30°41'53″ = 0.53657821202 rad
Angle ∠ C = γ = 115° = 2.00771286398 rad

Height: ha = 6.97985699602
Height: hb = 7.70436161898
Height: hc = 4.33993665935

Median: ma = 10.24875785057
Median: mb = 10.71113428304
Median: mc = 4.36551823999

Vertex coordinates: A[13.67697011841; 0] B[0; 0] C[7.30988916784; 4.33993665935]
Centroid: CG[6.99328642875; 1.44664555312]
Coordinates of the circumscribed circle: U[6.8354850592; -3.18771431734]
Coordinates of the inscribed circle: I[7.2354850592; 1.98658867786]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145.6988054225° = 145°41'53″ = 0.59986818936 rad
∠ B' = β' = 149.3021945775° = 149°18'7″ = 0.53657821202 rad
∠ C' = γ' = 65° = 2.00771286398 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    