# 6 7 11 triangle

### Obtuse scalene triangle.

Sides: a = 6   b = 7   c = 11

Area: T = 18.9743665961
Perimeter: p = 24
Semiperimeter: s = 12

Angle ∠ A = α = 29.52662652473° = 29°31'35″ = 0.51553305444 rad
Angle ∠ B = β = 35.09768012276° = 35°5'48″ = 0.61325547383 rad
Angle ∠ C = γ = 115.3776933525° = 115°22'37″ = 2.01437073709 rad

Height: ha = 6.32545553203
Height: hb = 5.42110474174
Height: hc = 3.45497574475

Median: ma = 8.71877978871
Median: mb = 8.1399410298
Median: mc = 3.5

Vertex coordinates: A[11; 0] B[0; 0] C[4.90990909091; 3.45497574475]
Centroid: CG[5.3033030303; 1.15499191492]
Coordinates of the circumscribed circle: U[5.5; -2.60988790696]
Coordinates of the inscribed circle: I[5; 1.58111388301]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.4743734753° = 150°28'25″ = 0.51553305444 rad
∠ B' = β' = 144.9033198772° = 144°54'12″ = 0.61325547383 rad
∠ C' = γ' = 64.62330664748° = 64°37'23″ = 2.01437073709 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    