# Triangle calculator VC

Please enter the coordinates of the three vertices

### Acute scalene triangle.

Sides: a = 11.4021754251   b = 9.43439811321   c = 7.81102496759

Area: T = 36.5
Perimeter: p = 28.6465985059
Semiperimeter: s = 14.32329925295

Angle ∠ A = α = 82.21998121158° = 82°11'59″ = 1.43546573659 rad
Angle ∠ B = β = 55.06106897953° = 55°3'38″ = 0.96109903253 rad
Angle ∠ C = γ = 42.73994980889° = 42°44'22″ = 0.74659449623 rad

Height: ha = 6.40325235409
Height: hb = 7.7387984524
Height: hc = 9.34766922351

Median: ma = 6.51992024052
Median: mb = 8.55986213843
Median: mc = 9.70882439195

Inradius: r = 2.54883501388
Circumradius: R = 5.75441177012

Vertex coordinates: A[4; 0] B[-1; 6] C[-4; -5]
Centroid: CG[-0.33333333333; 0.33333333333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[1.78803542065; 2.54883501388]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 97.88001878842° = 97°48'1″ = 1.43546573659 rad
∠ B' = β' = 124.9399310205° = 124°56'22″ = 0.96109903253 rad
∠ C' = γ' = 137.2610501911° = 137°15'38″ = 0.74659449623 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.