# Triangle calculator VC

Please enter the coordinates of the three vertices

### Right scalene triangle.

Sides: a = 6.40331242374   b = 45.27769256907   c = 44.8221869662

Area: T = 143.5
Perimeter: p = 96.50219195901
Semiperimeter: s = 48.25109597951

Angle ∠ A = α = 8.13301023542° = 8°7'48″ = 0.14218970546 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 81.87698976458° = 81°52'12″ = 1.42988992722 rad

Height: ha = 44.8221869662
Height: hb = 6.33987695967
Height: hc = 6.40331242374

Median: ma = 44.93660656934
Median: mb = 22.63884628453
Median: mc = 23.30877240416

Inradius: r = 2.97440341044
Circumradius: R = 22.63884628453

Vertex coordinates: A[12; -14] B[-16; 21] C[-11; 25]
Centroid: CG[-5; 10.66766666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[-0; 2.97440341044]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 171.8769897646° = 171°52'12″ = 0.14218970546 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 98.13301023542° = 98°7'48″ = 1.42988992722 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    