# 8 11 14 triangle

### Obtuse scalene triangle.

Sides: a = 8   b = 11   c = 14

Area: T = 43.91439784123
Perimeter: p = 33
Semiperimeter: s = 16.5

Angle ∠ A = α = 34.77219440319° = 34°46'19″ = 0.60768849107 rad
Angle ∠ B = β = 51.64547342696° = 51°38'41″ = 0.90113706543 rad
Angle ∠ C = γ = 93.58333216985° = 93°35' = 1.63333370886 rad

Height: ha = 10.97884946031
Height: hb = 7.98443597113
Height: hc = 6.27334254875

Median: ma = 11.93773363863
Median: mb = 9.98774921777
Median: mc = 6.59554529791

Inradius: r = 2.66114532371
Circumradius: R = 7.01437120602

Vertex coordinates: A[14; 0] B[0; 0] C[4.96442857143; 6.27334254875]
Centroid: CG[6.32114285714; 2.09111418292]
Coordinates of the circumscribed circle: U[7; -0.43883570038]
Coordinates of the inscribed circle: I[5.5; 2.66114532371]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145.2288055968° = 145°13'41″ = 0.60768849107 rad
∠ B' = β' = 128.355526573° = 128°21'19″ = 0.90113706543 rad
∠ C' = γ' = 86.41766783015° = 86°25' = 1.63333370886 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    