# Triangle calculator VC

Please enter the coordinates of the three vertices

### Obtuse scalene triangle.

Sides: a = 5.38551648071   b = 7.21111025509   c = 4.12331056256

Area: T = 11
Perimeter: p = 16.71993729837
Semiperimeter: s = 8.36596864918

Angle ∠ A = α = 47.72663109939° = 47°43'35″ = 0.83329812667 rad
Angle ∠ B = β = 97.76551660184° = 97°45'55″ = 1.70663240408 rad
Angle ∠ C = γ = 34.50985229877° = 34°30'31″ = 0.60222873461 rad

Height: ha = 4.08552974399
Height: hb = 3.05108510792
Height: hc = 5.33657837508

Median: ma = 5.22201532545
Median: mb = 3.16222776602
Median: mc = 6.02107972894

Vertex coordinates: A[6; 10] B[7; 6] C[2; 4]
Centroid: CG[5; 6.66766666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[-0.17994325662; 1.31658388189]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 132.2743689006° = 132°16'25″ = 0.83329812667 rad
∠ B' = β' = 82.23548339816° = 82°14'5″ = 1.70663240408 rad
∠ C' = γ' = 145.4911477012° = 145°29'29″ = 0.60222873461 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    