# 170 366 427 triangle

### Obtuse scalene triangle.

Sides: a = 170   b = 366   c = 427

Area: T = 30726.73549703
Perimeter: p = 963
Semiperimeter: s = 481.5

Angle ∠ A = α = 23.15551106019° = 23°9'18″ = 0.40441329187 rad
Angle ∠ B = β = 57.84219547775° = 57°50'31″ = 1.01095325567 rad
Angle ∠ C = γ = 99.00329346206° = 99°11″ = 1.72879271783 rad

Height: ha = 361.4910999651
Height: hb = 167.9065655576
Height: hc = 143.9199133351

Median: ma = 388.4811016267
Median: mb = 268.5621910926
Median: mc = 189.3329738816

Inradius: r = 63.81546105303
Circumradius: R = 216.163305821

Vertex coordinates: A[427; 0] B[0; 0] C[90.48436065574; 143.9199133351]
Centroid: CG[172.4954535519; 47.97330444502]
Coordinates of the circumscribed circle: U[213.5; -33.82662876288]
Coordinates of the inscribed circle: I[115.5; 63.81546105303]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.8454889398° = 156°50'42″ = 0.40441329187 rad
∠ B' = β' = 122.1588045222° = 122°9'29″ = 1.01095325567 rad
∠ C' = γ' = 80.99770653794° = 80°59'49″ = 1.72879271783 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    