# 274 447 464 triangle

### Acute scalene triangle.

Sides: a = 274   b = 447   c = 464

Area: T = 59399.38660527
Perimeter: p = 1185
Semiperimeter: s = 592.5

Angle ∠ A = α = 34.94441832341° = 34°56'39″ = 0.61098910519 rad
Angle ∠ B = β = 69.13550871679° = 69°8'6″ = 1.20766348997 rad
Angle ∠ C = γ = 75.9210729598° = 75°55'15″ = 1.3255066702 rad

Height: ha = 433.5722160969
Height: hb = 265.7699065113
Height: hc = 256.0321836434

Median: ma = 434.4922232382
Median: mb = 308.6599659754
Median: mc = 289.169863592

Inradius: r = 100.2522128359
Circumradius: R = 239.1855098435

Vertex coordinates: A[464; 0] B[0; 0] C[97.58994396552; 256.0321836434]
Centroid: CG[187.1966479885; 85.3443945478]
Coordinates of the circumscribed circle: U[232; 58.18551468454]
Coordinates of the inscribed circle: I[145.5; 100.2522128359]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145.0565816766° = 145°3'21″ = 0.61098910519 rad
∠ B' = β' = 110.8654912832° = 110°51'54″ = 1.20766348997 rad
∠ C' = γ' = 104.0799270402° = 104°4'45″ = 1.3255066702 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    