# 7.616 1.414 6.325 triangle

### Obtuse scalene triangle.

Sides: a = 7.61657731059   b = 1.41442135624   c = 6.32545553203

Area: T = 2
Perimeter: p = 15.35545419886
Semiperimeter: s = 7.67772709943

Angle ∠ A = α = 153.4354948822° = 153°26'6″ = 2.67879450446 rad
Angle ∠ B = β = 4.76436416908° = 4°45'49″ = 0.08331412319 rad
Angle ∠ C = γ = 21.80114094867° = 21°48'5″ = 0.38105063771 rad

Height: ha = 0.52552257314
Height: hb = 2.82884271248
Height: hc = 0.6322455532

Median: ma = 2.55495097568
Median: mb = 6.96441941386
Median: mc = 4.4722135955

Vertex coordinates: A[6.32545553203; 0] B[0; 0] C[7.58994663844; 0.6322455532]
Centroid: CG[4.63880072349; 0.21108185107]
Coordinates of the circumscribed circle: U[3.16222776602; 7.90656941503]
Coordinates of the inscribed circle: I[6.26330574319; 0.26105092358]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 26.56550511775° = 26°33'54″ = 2.67879450446 rad
∠ B' = β' = 175.2366358309° = 175°14'11″ = 0.08331412319 rad
∠ C' = γ' = 158.1998590513° = 158°11'55″ = 0.38105063771 rad

# How did we calculate this triangle?

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. ### 1. The triangle circumference is the sum of the lengths of its three sides ### 2. Semiperimeter of the triangle ### 3. The triangle area using Heron's formula ### 4. Calculate the heights of the triangle from its area. ### 5. Calculation of the inner angles of the triangle using a Law of Cosines    