# Triangle calculator

Please enter what you know about the triangle:
You have entered side a, b and c.

### Obtuse scalene triangle.

Sides: a = 54.1   b = 262.94   c = 214

Area: T = 2731.615465549
Perimeter: p = 531.04
Semiperimeter: s = 265.52

Angle ∠ A = α = 5.57216820542° = 5°34'18″ = 0.09772441967 rad
Angle ∠ B = β = 151.8433117634° = 151°50'35″ = 2.65501623492 rad
Angle ∠ C = γ = 22.5855200312° = 22°35'7″ = 0.39441861077 rad

Height: ha = 100.9843905933
Height: hb = 20.77774751312
Height: hc = 25.52991089299

Median: ma = 238.1911140263
Median: mb = 84.1255169242
Median: mc = 156.799007239

Inradius: r = 10.28877924657
Circumradius: R = 278.605459288

Vertex coordinates: A[214; 0] B[0; 0] C[-47.69877420561; 25.52991089299]
Centroid: CG[55.43440859813; 8.51097029766]
Coordinates of the circumscribed circle: U[107; 257.2388253714]
Coordinates of the inscribed circle: I[2.58; 10.28877924657]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 174.4288317946° = 174°25'42″ = 0.09772441967 rad
∠ B' = β' = 28.15768823662° = 28°9'25″ = 2.65501623492 rad
∠ C' = γ' = 157.4154799688° = 157°24'53″ = 0.39441861077 rad

# How did we calculate this triangle?

### 1. Input data entered: side a, b and c. ### 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    