# Triangle calculator VC

Please enter the coordinates of the three vertices

### Acute scalene triangle.

Sides: a = 5.83109518948   b = 3.60655512755   c = 5.38551648071

Area: T = 9.5
Perimeter: p = 14.82216679774
Semiperimeter: s = 7.41108339887

Angle ∠ A = α = 78.11113419604° = 78°6'41″ = 1.36333001004 rad
Angle ∠ B = β = 37.23548339816° = 37°14'5″ = 0.65498704494 rad
Angle ∠ C = γ = 64.65438240581° = 64°39'14″ = 1.12884221038 rad

Height: ha = 3.25884731177
Height: hb = 5.27696518641
Height: hc = 3.52882114254

Median: ma = 3.53655339059
Median: mb = 5.31550729064
Median: mc = 4.03111288741

Inradius: r = 1.28219070046
Circumradius: R = 2.9799384383

Vertex coordinates: A[-2; 1] B[3; -1] C[0; 4]
Centroid: CG[0.33333333333; 1.33333333333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[1.68767197429; 1.28219070046]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 101.889865804° = 101°53'19″ = 1.36333001004 rad
∠ B' = β' = 142.7655166018° = 142°45'55″ = 0.65498704494 rad
∠ C' = γ' = 115.3466175942° = 115°20'46″ = 1.12884221038 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.