# Triangle calculator VC

Please enter the coordinates of the three vertices

### Obtuse scalene triangle.

Sides: a = 6.32545553203   b = 9.22195444573   c = 15.52441746963

Area: T = 3
Perimeter: p = 31.06882744739
Semiperimeter: s = 15.53441372369

Angle ∠ A = α = 2.4032609469° = 2°24'9″ = 0.04219334459 rad
Angle ∠ B = β = 3.50435316448° = 3°30'13″ = 0.06111481626 rad
Angle ∠ C = γ = 174.0943858886° = 174°5'38″ = 3.03985110451 rad

Height: ha = 0.94986832981
Height: hb = 0.65107913735
Height: hc = 0.38664939758

Median: ma = 12.36993168769
Median: mb = 10.92201648339
Median: mc = 1.5

Vertex coordinates: A[1; -9] B[5; 6] C[3; 0]
Centroid: CG[3; -1]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[3.15443431896; 0.19331230524]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 177.5977390531° = 177°35'51″ = 0.04219334459 rad
∠ B' = β' = 176.4966468355° = 176°29'47″ = 0.06111481626 rad
∠ C' = γ' = 5.90661411138° = 5°54'22″ = 3.03985110451 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    