# Triangle calculator VC

Please enter the coordinates of the three vertices

### Obtuse scalene triangle.

Sides: a = 25.96215099715   b = 43.68106593357   c = 17.72200451467

Area: T = 3
Perimeter: p = 87.36222144538
Semiperimeter: s = 43.68111072269

Angle ∠ A = α = 0.44441444331° = 0°26'39″ = 0.00877517827 rad
Angle ∠ B = β = 179.2532706123° = 179°15'10″ = 3.1298549915 rad
Angle ∠ C = γ = 0.30331494437° = 0°18'11″ = 0.00552909559 rad

Height: ha = 0.23111113647
Height: hb = 0.13773605639
Height: hc = 0.33985995888

Median: ma = 30.7700162866
Median: mb = 4.12331056256
Median: mc = 34.8210970693

Vertex coordinates: A[-5; 3] B[12; 8] C[37; 15]
Centroid: CG[14.66766666667; 8.66766666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[-5.26554342942; 0.06986795778]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 179.5565855567° = 179°33'21″ = 0.00877517827 rad
∠ B' = β' = 0.74772938768° = 0°44'50″ = 3.1298549915 rad
∠ C' = γ' = 179.6976850556° = 179°41'49″ = 0.00552909559 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    