# Triangle calculator VC

Please enter the coordinates of the three vertices

### Obtuse scalene triangle.

Sides: a = 6.08327625303   b = 11.4021754251   c = 8.54440037453

Area: T = 25.5
Perimeter: p = 26.02985205266
Semiperimeter: s = 13.01442602633

Angle ∠ A = α = 31.56989711293° = 31°34'8″ = 0.55109824877 rad
Angle ∠ B = β = 101.0943723012° = 101°5'37″ = 1.76444183197 rad
Angle ∠ C = γ = 47.33773058591° = 47°20'14″ = 0.82661918463 rad

Height: ha = 8.38443483526
Height: hb = 4.47329958985
Height: hc = 5.9699098507

Median: ma = 9.60546863561
Median: mb = 4.74334164903
Median: mc = 8.07877472107

Vertex coordinates: A[-9; -5] B[-6; 3] C[0; 2]
Centroid: CG[-5; 0]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[-0.38441939456; 1.95993891227]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.4311028871° = 148°25'52″ = 0.55109824877 rad
∠ B' = β' = 78.90662769884° = 78°54'23″ = 1.76444183197 rad
∠ C' = γ' = 132.6632694141° = 132°39'46″ = 0.82661918463 rad

# How did we calculate this triangle?

### 1. We compute side a from coordinates using the Pythagorean theorem ### 2. We compute side b from coordinates using the Pythagorean theorem ### 3. We compute side c from coordinates using the Pythagorean theorem 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. ### 4. The triangle circumference is the sum of the lengths of its three sides ### 5. Semiperimeter of the triangle ### 6. The triangle area using Heron's formula ### 7. Calculate the heights of the triangle from its area. ### 8. Calculation of the inner angles of the triangle using a Law of Cosines    