# 310 466 400 triangle

### Acute scalene triangle.

Sides: a = 310   b = 466   c = 400

Area: T = 61230.79553892
Perimeter: p = 1176
Semiperimeter: s = 588

Angle ∠ A = α = 41.07701666127° = 41°4'13″ = 0.71768096317 rad
Angle ∠ B = β = 80.9655320375° = 80°57'55″ = 1.41331114205 rad
Angle ∠ C = γ = 57.96545130122° = 57°57'52″ = 1.01216716014 rad

Height: ha = 395.0377389608
Height: hb = 262.7933113259
Height: hc = 306.1543976946

Median: ma = 405.6511328113
Median: mb = 271.5989764167
Median: mc = 341.5088418637

Inradius: r = 104.1344005764
Circumradius: R = 235.9277034888

Vertex coordinates: A[400; 0] B[0; 0] C[48.68; 306.1543976946]
Centroid: CG[149.56; 102.0511325649]
Coordinates of the circumscribed circle: U[200; 125.1466177692]
Coordinates of the inscribed circle: I[122; 104.1344005764]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.9329833387° = 138°55'47″ = 0.71768096317 rad
∠ B' = β' = 99.0354679625° = 99°2'5″ = 1.41331114205 rad
∠ C' = γ' = 122.0355486988° = 122°2'8″ = 1.01216716014 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 ### 6. Inradius ### 7. Circumradius ### 8. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.