# Triangle calculator SSA

Please enter two sides and a non-included angle
°

### Acute scalene triangle.

Sides: a = 42   b = 45   c = 40.59552082572

Area: T = 778.7976930214
Perimeter: p = 127.5955208257
Semiperimeter: s = 63.79876041286

Angle ∠ A = α = 58.55002481311° = 58°30'1″ = 1.02110219431 rad
Angle ∠ B = β = 66° = 1.15219173063 rad
Angle ∠ C = γ = 55.54997518689° = 55°29'59″ = 0.96986534042 rad

Height: ha = 37.08655681054
Height: hb = 34.61331968984
Height: hc = 38.3698909221

Median: ma = 37.35661971662
Median: mb = 34.6377197732
Median: mc = 38.50333409802

Vertex coordinates: A[40.59552082572; 0] B[0; 0] C[17.08329390092; 38.3698909221]
Centroid: CG[19.22660490888; 12.7989636407]
Coordinates of the circumscribed circle: U[20.29876041286; 13.95502862475]
Coordinates of the inscribed circle: I[18.79876041286; 12.2077306855]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 121.5499751869° = 121°29'59″ = 1.02110219431 rad
∠ B' = β' = 114° = 1.15219173063 rad
∠ C' = γ' = 124.5500248131° = 124°30'1″ = 0.96986534042 rad

# How did we calculate this triangle?

### 1. Use 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    