# Triangle calculator VC

Please enter the coordinates of the three vertices

### Acute isosceles triangle.

Sides: a = 7.21111025509   b = 7.21111025509   c = 2.82884271247

Area: T = 10
Perimeter: p = 17.25106322266
Semiperimeter: s = 8.62553161133

Angle ∠ A = α = 78.6990067526° = 78°41'24″ = 1.37334007669 rad
Angle ∠ B = β = 78.6990067526° = 78°41'24″ = 1.37334007669 rad
Angle ∠ C = γ = 22.6219864948° = 22°37'11″ = 0.39547911197 rad

Height: ha = 2.77435009811
Height: hb = 2.77435009811
Height: hc = 7.07110678119

Median: ma = 4.12331056256
Median: mb = 4.12331056256
Median: mc = 7.07110678119

Inradius: r = 1.15993777977
Circumradius: R = 3.67769552622

Vertex coordinates: A[-5; -2] B[-3; 0] C[1; -6]
Centroid: CG[-2.33333333333; -2.66766666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[0.23218755595; 1.15993777977]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 101.3109932474° = 101°18'36″ = 1.37334007669 rad
∠ B' = β' = 101.3109932474° = 101°18'36″ = 1.37334007669 rad
∠ C' = γ' = 157.3880135052° = 157°22'49″ = 0.39547911197 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.