# 673 861 989 triangle

### Acute scalene triangle.

Sides: a = 673   b = 861   c = 989

Area: T = 284643.5687927
Perimeter: p = 2523
Semiperimeter: s = 1261.5

Angle ∠ A = α = 41.95550183447° = 41°57'18″ = 0.73222532079 rad
Angle ∠ B = β = 58.79332291994° = 58°47'36″ = 1.02661354274 rad
Angle ∠ C = γ = 79.25217524559° = 79°15'6″ = 1.38332040183 rad

Height: ha = 845.8954704092
Height: hb = 661.1932956857
Height: hc = 575.6198944241

Median: ma = 863.9965804388
Median: mb = 728.1454731492
Median: mc = 593.7976892885

Inradius: r = 225.6398975765
Circumradius: R = 503.333037663

Vertex coordinates: A[989; 0] B[0; 0] C[348.7700202225; 575.6198944241]
Centroid: CG[445.9900067408; 191.8732981414]
Coordinates of the circumscribed circle: U[494.5; 93.86880884996]
Coordinates of the inscribed circle: I[400.5; 225.6398975765]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.0454981655° = 138°2'42″ = 0.73222532079 rad
∠ B' = β' = 121.2076770801° = 121°12'24″ = 1.02661354274 rad
∠ C' = γ' = 100.7488247544° = 100°44'54″ = 1.38332040183 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    