# Triangle calculator SSA

Please enter two sides and a non-included angle
°

### Acute scalene triangle.

Sides: a = 56.3   b = 80.2   c = 84.43656582107

Area: T = 2171.37331084
Perimeter: p = 220.9365658211
Semiperimeter: s = 110.4687829105

Angle ∠ A = α = 39.88991508634° = 39°53'21″ = 0.69661970184 rad
Angle ∠ B = β = 66° = 1.15219173063 rad
Angle ∠ C = γ = 74.11108491366° = 74°6'39″ = 1.29334783289 rad

Height: ha = 77.13658120215
Height: hb = 54.14989553218
Height: hc = 51.43326092653

Median: ma = 77.38440273489
Median: mb = 59.5110714907
Median: mc = 54.94110584684

Vertex coordinates: A[84.43656582107; 0] B[0; 0] C[22.89992730052; 51.43326092653]
Centroid: CG[35.77883104053; 17.14442030884]
Coordinates of the circumscribed circle: U[42.21878291054; 12.01774226908]
Coordinates of the inscribed circle: I[30.26878291054; 19.65661580506]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 140.1110849137° = 140°6'39″ = 0.69661970184 rad
∠ B' = β' = 114° = 1.15219173063 rad
∠ C' = γ' = 105.8899150863° = 105°53'21″ = 1.29334783289 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    