# Triangle calculator VC

Please enter the coordinates of the three vertices

### Right scalene triangle.

Sides: a = 11.4021754251   b = 9.48768329805   c = 6.32545553203

Area: T = 30
Perimeter: p = 27.21331425518
Semiperimeter: s = 13.60765712759

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 56.3109932474° = 56°18'36″ = 0.98327937232 rad
Angle ∠ C = γ = 33.6990067526° = 33°41'24″ = 0.58880026035 rad

Height: ha = 5.26223481158
Height: hb = 6.32545553203
Height: hc = 9.48768329805

Median: ma = 5.70108771255
Median: mb = 7.90656941504
Median: mc = 10

Vertex coordinates: A[-4; 3] B[2; 5] C[-1; -6]
Centroid: CG[-1; 0.66766666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[1.47698780166; 2.20548170249]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 123.6990067526° = 123°41'24″ = 0.98327937232 rad
∠ C' = γ' = 146.3109932474° = 146°18'36″ = 0.58880026035 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    