# Triangle calculator VC

Please enter the coordinates of the three vertices

### Obtuse scalene triangle.

Sides: a = 10.19880390272   b = 4.4722135955   c = 8.24662112512

Area: T = 18
Perimeter: p = 22.91663862334
Semiperimeter: s = 11.45881931167

Angle ∠ A = α = 102.5298807709° = 102°31'44″ = 1.78994652727 rad
Angle ∠ B = β = 25.34661759419° = 25°20'46″ = 0.4422374223 rad
Angle ∠ C = γ = 52.12550163489° = 52°7'30″ = 0.91097531579 rad

Height: ha = 3.53300904325
Height: hb = 8.0549844719
Height: hc = 4.36656412507

Median: ma = 4.24326406871
Median: mb = 9
Median: mc = 6.70882039325

Inradius: r = 1.57109283145
Circumradius: R = 5.22334041216

Vertex coordinates: A[-3; 6] B[5; 8] C[-5; 10]
Centroid: CG[-1; 8]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[3.31664042195; 1.57109283145]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 77.47111922908° = 77°28'16″ = 1.78994652727 rad
∠ B' = β' = 154.6543824058° = 154°39'14″ = 0.4422374223 rad
∠ C' = γ' = 127.8754983651° = 127°52'30″ = 0.91097531579 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 ### 9. Inradius ### 10. Circumradius ### 11. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.