# Triangle calculator VC

Please enter the coordinates of the three vertices

### Acute isosceles triangle.

Sides: a = 8.24662112512   b = 8.48552813742   c = 8.24662112512

Area: T = 30
Perimeter: p = 24.97877038767
Semiperimeter: s = 12.48988519384

Angle ∠ A = α = 59.03662434679° = 59°2'10″ = 1.03303768265 rad
Angle ∠ B = β = 61.92875130641° = 61°55'39″ = 1.08108390005 rad
Angle ∠ C = γ = 59.03662434679° = 59°2'10″ = 1.03303768265 rad

Height: ha = 7.27660687511
Height: hb = 7.07110678119
Height: hc = 7.27660687511

Median: ma = 7.28801098893
Median: mb = 7.07110678119
Median: mc = 7.28801098893

Inradius: r = 2.40221423385
Circumradius: R = 4.80883261121

Vertex coordinates: A[-7; -7] B[-9; 1] C[-1; -1]
Centroid: CG[-5.66766666667; -2.33333333333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[1.28111425805; 2.40221423385]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 120.9643756532° = 120°57'50″ = 1.03303768265 rad
∠ B' = β' = 118.0722486936° = 118°4'21″ = 1.08108390005 rad
∠ C' = γ' = 120.9643756532° = 120°57'50″ = 1.03303768265 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    