# Triangle calculator VC

Please enter the coordinates of the three vertices

### Obtuse scalene triangle.

Sides: a = 8.24662112512   b = 14.56602197786   c = 6.32545553203

Area: T = 2
Perimeter: p = 29.13109863501
Semiperimeter: s = 14.56554931751

Angle ∠ A = α = 2.4989552922° = 2°29'22″ = 0.04334508954 rad
Angle ∠ B = β = 175.6011294645° = 175°36'5″ = 3.06548207623 rad
Angle ∠ C = γ = 1.9099152433° = 1°54'33″ = 0.03333209959 rad

Height: ha = 0.48550712501
Height: hb = 0.27547211279
Height: hc = 0.6322455532

Median: ma = 10.44403065089
Median: mb = 1
Median: mc = 11.4021754251

Inradius: r = 0.13773108329
Circumradius: R = 94.92110198007

Vertex coordinates: A[-5; 4] B[1; 2] C[9; 0]
Centroid: CG[1.66766666667; 2]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[-1.78550408282; 0.13773108329]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 177.5110447078° = 177°30'38″ = 0.04334508954 rad
∠ B' = β' = 4.3998705355° = 4°23'55″ = 3.06548207623 rad
∠ C' = γ' = 178.0910847567° = 178°5'27″ = 0.03333209959 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    