# 717 856 792 triangle

### Acute scalene triangle.

Sides: a = 717   b = 856   c = 792

Area: T = 264918.6487571
Perimeter: p = 2365
Semiperimeter: s = 1182.5

Angle ∠ A = α = 51.40105320808° = 51°24'2″ = 0.89771085221 rad
Angle ∠ B = β = 68.91330558516° = 68°54'47″ = 1.20327597222 rad
Angle ∠ C = γ = 59.68664120676° = 59°41'11″ = 1.04217244093 rad

Height: ha = 738.9644149431
Height: hb = 618.9698802736
Height: hc = 668.9866483766

Median: ma = 742.6155479235
Median: mb = 622.4898955725
Median: mc = 683.0798692392

Vertex coordinates: A[792; 0] B[0; 0] C[257.9655277778; 668.9866483766]
Centroid: CG[349.9888425926; 222.9955494589]
Coordinates of the circumscribed circle: U[396; 231.5329715112]
Coordinates of the inscribed circle: I[326.5; 224.0332682935]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 128.5999467919° = 128°35'58″ = 0.89771085221 rad
∠ B' = β' = 111.0876944148° = 111°5'13″ = 1.20327597222 rad
∠ C' = γ' = 120.3143587932° = 120°18'49″ = 1.04217244093 rad

# How did we calculate this triangle? ### 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    