# 675 834 1395 triangle

### Obtuse scalene triangle.

Sides: a = 675   b = 834   c = 1395

Area: T = 199354.2432754
Perimeter: p = 2904
Semiperimeter: s = 1452

Angle ∠ A = α = 20.0421511999° = 20°2'29″ = 0.35497903715 rad
Angle ∠ B = β = 25.05110734844° = 25°3'4″ = 0.43772237135 rad
Angle ∠ C = γ = 134.9077414517° = 134°54'27″ = 2.35545785687 rad

Height: ha = 590.679923779
Height: hb = 478.0687728427
Height: hc = 285.8132534414

Median: ma = 1098.583283711
Median: mb = 1013.379850776
Median: mc = 298.4769847723

Inradius: r = 137.2966310437
Circumradius: R = 984.824384818

Vertex coordinates: A[1395; 0] B[0; 0] C[611.5033225807; 285.8132534414]
Centroid: CG[668.8344408602; 95.27108448048]
Coordinates of the circumscribed circle: U[697.5; -695.2499424268]
Coordinates of the inscribed circle: I[618; 137.2966310437]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 159.9588488001° = 159°57'31″ = 0.35497903715 rad
∠ B' = β' = 154.9498926516° = 154°56'56″ = 0.43772237135 rad
∠ C' = γ' = 45.09325854834° = 45°5'33″ = 2.35545785687 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    