# Triangle calculator VC

Please enter the coordinates of the three vertices

### Acute scalene triangle.

Sides: a = 17.26326765016   b = 18.43990889146   c = 9.48768329805

Area: T = 81
Perimeter: p = 45.18985983967
Semiperimeter: s = 22.59442991984

Angle ∠ A = α = 67.83436541779° = 67°50'1″ = 1.18439206091 rad
Angle ∠ B = β = 81.57330309785° = 81°34'23″ = 1.42437179714 rad
Angle ∠ C = γ = 30.59333148436° = 30°35'36″ = 0.53439540731 rad

Height: ha = 9.38444080311
Height: hb = 8.78656835417
Height: hc = 17.07662993649

Median: ma = 11.85332695911
Median: mb = 10.44403065089
Median: mc = 17.21991753577

Inradius: r = 3.58549750988
Circumradius: R = 9.32201700238

Vertex coordinates: A[4; -5] B[-5; -8] C[-8; 9]
Centroid: CG[-3; -1.33333333333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[0.5311107422; 3.58549750988]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 112.1666345822° = 112°9'59″ = 1.18439206091 rad
∠ B' = β' = 98.42769690215° = 98°25'37″ = 1.42437179714 rad
∠ C' = γ' = 149.4076685156° = 149°24'24″ = 0.53439540731 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.