# Triangle calculator SSS - result

Please enter the triangle sides:

### Acute scalene triangle.

Sides: a = 9.7   b = 11.8   c = 12.2

Area: T = 53.18994058413
Perimeter: p = 33.7
Semiperimeter: s = 16.85

Angle ∠ A = α = 47.64217941394° = 47°38'30″ = 0.83215061693 rad
Angle ∠ B = β = 64.01771511345° = 64°1'2″ = 1.1177310065 rad
Angle ∠ C = γ = 68.34110547261° = 68°20'28″ = 1.19327764193 rad

Height: ha = 10.96768878023
Height: hb = 9.01551535324
Height: hc = 8.72195747281

Median: ma = 10.97880462743
Median: mb = 9.30988667409
Median: mc = 8.91437534182

Inradius: r = 3.15766412962
Circumradius: R = 6.56333934893

Vertex coordinates: A[12.2; 0] B[0; 0] C[4.25495901639; 8.72195747281]
Centroid: CG[5.48331967213; 2.90765249094]
Coordinates of the circumscribed circle: U[6.1; 2.42224231868]
Coordinates of the inscribed circle: I[5.05; 3.15766412962]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 132.3588205861° = 132°21'30″ = 0.83215061693 rad
∠ B' = β' = 115.9832848865° = 115°58'58″ = 1.1177310065 rad
∠ C' = γ' = 111.6598945274° = 111°39'32″ = 1.19327764193 rad

# How did we calculate this triangle?

### 1. The triangle circumference is the sum of the lengths of its three sides ### 2. Semiperimeter of the triangle ### 3. The triangle area using Heron's formula ### 4. Calculate the heights of the triangle from its area. ### 5. Calculation of the inner angles of the triangle using a Law of Cosines    