# Triangle calculator SSS - result

Please enter the triangle sides:

### Acute scalene triangle.

Sides: a = 105   b = 85.77   c = 127.23

Area: T = 4469.393322734
Perimeter: p = 318
Semiperimeter: s = 159

Angle ∠ A = α = 54.99879474164° = 54°59'53″ = 0.96598952643 rad
Angle ∠ B = β = 41.99986744414° = 41°59'55″ = 0.73330151505 rad
Angle ∠ C = γ = 83.00333781423° = 83°12″ = 1.44986822389 rad

Height: ha = 85.13112995684
Height: hb = 104.2188100206
Height: hc = 70.25769083917

Median: ma = 94.95112132624
Median: mb = 108.4766325643
Median: mc = 71.72108353618

Inradius: r = 28.10993913669
Circumradius: R = 64.09222736721

Vertex coordinates: A[127.23; 0] B[0; 0] C[78.03218321151; 70.25769083917]
Centroid: CG[68.4210610705; 23.41989694639]
Coordinates of the circumscribed circle: U[63.615; 7.80771326017]
Coordinates of the inscribed circle: I[73.23; 28.10993913669]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125.0022052584° = 125°7″ = 0.96598952643 rad
∠ B' = β' = 138.0011325559° = 138°5″ = 0.73330151505 rad
∠ C' = γ' = 96.99766218577° = 96°59'48″ = 1.44986822389 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    