# Triangle calculator SSS - result

Please enter the triangle sides:

### Acute scalene triangle.

Sides: a = 85   b = 90   c = 82.46

Area: T = 3176.165548155
Perimeter: p = 257.46
Semiperimeter: s = 128.73

Angle ∠ A = α = 58.86546013058° = 58°51'53″ = 1.02773811057 rad
Angle ∠ B = β = 64.99986277439° = 64°59'55″ = 1.13444400634 rad
Angle ∠ C = γ = 56.13767709503° = 56°8'12″ = 0.98797714845 rad

Height: ha = 74.73333054481
Height: hb = 70.58114551455
Height: hc = 77.0355301517

Median: ma = 75.1243736595
Median: mb = 70.62110011257
Median: mc = 77.21877900487

Inradius: r = 24.67330791699
Circumradius: R = 49.65325608997

Vertex coordinates: A[82.46; 0] B[0; 0] C[35.92443972835; 77.0355301517]
Centroid: CG[39.46114657612; 25.6788433839]
Coordinates of the circumscribed circle: U[41.23; 27.66770183413]
Coordinates of the inscribed circle: I[38.73; 24.67330791699]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 121.1355398694° = 121°8'7″ = 1.02773811057 rad
∠ B' = β' = 115.0011372256° = 115°5″ = 1.13444400634 rad
∠ C' = γ' = 123.863322905° = 123°51'48″ = 0.98797714845 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    