# Triangle calculator VC

Please enter the coordinates of the three vertices

### Right scalene Pythagorean triangle.

Sides: a = 4.24326406871   b = 5.65768542495   c = 7.07110678119

Area: T = 12
Perimeter: p = 16.97105627485
Semiperimeter: s = 8.48552813742

Angle ∠ A = α = 36.87698976458° = 36°52'12″ = 0.64435011088 rad
Angle ∠ B = β = 53.13301023542° = 53°7'48″ = 0.9277295218 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 5.65768542495
Height: hb = 4.24326406871
Height: hc = 3.39441125497

Median: ma = 6.04215229868
Median: mb = 5.09990195136
Median: mc = 3.53655339059

Vertex coordinates: A[0; 0] B[7; 1] C[4; 4]
Centroid: CG[3.66766666667; 1.66766666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[1.06106601718; 1.41442135624]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.1330102354° = 143°7'48″ = 0.64435011088 rad
∠ B' = β' = 126.8769897646° = 126°52'12″ = 0.9277295218 rad
∠ C' = γ' = 90° = 1.57107963268 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    