# Triangle calculator VC

Please enter the coordinates of the three vertices

### Acute scalene triangle.

Sides: a = 9.84988578018   b = 10.81766538264   c = 5.83109518948

Area: T = 28.5
Perimeter: p = 26.4966463523
Semiperimeter: s = 13.24882317615

Angle ∠ A = α = 64.65438240581° = 64°39'14″ = 1.12884221038 rad
Angle ∠ B = β = 82.99987324425° = 82°59'55″ = 1.44986011561 rad
Angle ∠ C = γ = 32.34774434994° = 32°20'51″ = 0.56545693937 rad

Height: ha = 5.78774731413
Height: hb = 5.27696518641
Height: hc = 9.77554193531

Median: ma = 7.15989105316
Median: mb = 6.02107972894
Median: mc = 9.92547166206

Inradius: r = 2.15112304822
Circumradius: R = 5.44989573071

Vertex coordinates: A[5; 4] B[0; 7] C[-4; -2]
Centroid: CG[0.33333333333; 3]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[0.26441861996; 2.15112304822]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 115.3466175942° = 115°20'46″ = 1.12884221038 rad
∠ B' = β' = 97.00112675575° = 97°5″ = 1.44986011561 rad
∠ C' = γ' = 147.6532556501° = 147°39'9″ = 0.56545693937 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.