# 240 132 330 triangle

### Obtuse scalene triangle.

Sides: a = 240   b = 132   c = 330

Area: T = 13385.87546072
Perimeter: p = 702
Semiperimeter: s = 351

Angle ∠ A = α = 37.92224831781° = 37°55'21″ = 0.6621872192 rad
Angle ∠ B = β = 19.75767220686° = 19°45'24″ = 0.34548198495 rad
Angle ∠ C = γ = 122.3210794753° = 122°19'15″ = 2.13549006121 rad

Height: ha = 111.549895506
Height: hb = 202.8166281928
Height: hc = 81.1276512771

Median: ma = 220.8211194635
Median: mb = 280.8810757618
Median: mc = 101.4254849026

Inradius: r = 38.13663948923
Circumradius: R = 195.2510596371

Vertex coordinates: A[330; 0] B[0; 0] C[225.8732727273; 81.1276512771]
Centroid: CG[185.2910909091; 27.04221709237]
Coordinates of the circumscribed circle: U[165; -104.3932506355]
Coordinates of the inscribed circle: I[219; 38.13663948923]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142.0787516822° = 142°4'39″ = 0.6621872192 rad
∠ B' = β' = 160.2433277931° = 160°14'36″ = 0.34548198495 rad
∠ C' = γ' = 57.67992052467° = 57°40'45″ = 2.13549006121 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    