# Triangle calculator VC

Please enter the coordinates of the three vertices

### Obtuse scalene triangle.

Sides: a = 10.77703296143   b = 7.07110678119   c = 14.21326704036

Area: T = 37
Perimeter: p = 32.05440678297
Semiperimeter: s = 16.02770339148

Angle ∠ A = α = 47.42195092167° = 47°25'10″ = 0.82876265655 rad
Angle ∠ B = β = 28.90991836511° = 28°54'33″ = 0.50545604388 rad
Angle ∠ C = γ = 103.6711307132° = 103°40'17″ = 1.80994056493 rad

Height: ha = 6.87107275126
Height: hb = 10.46551803616
Height: hc = 5.2076621831

Median: ma = 9.84988578018
Median: mb = 12.10437184369
Median: mc = 5.70108771255

Inradius: r = 2.30985993451
Circumradius: R = 7.31435454745

Vertex coordinates: A[0; 5] B[9; -6] C[-1; -2]
Centroid: CG[2.66766666667; -1]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[4.1880436652; 2.30985993451]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 132.5880490783° = 132°34'50″ = 0.82876265655 rad
∠ B' = β' = 151.0910816349° = 151°5'27″ = 0.50545604388 rad
∠ C' = γ' = 76.32986928678° = 76°19'43″ = 1.80994056493 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    