# 191 122 161 triangle

### Acute scalene triangle.

Sides: a = 191   b = 122   c = 161

Area: T = 9761.326572963
Perimeter: p = 474
Semiperimeter: s = 237

Angle ∠ A = α = 83.68106343729° = 83°40'50″ = 1.461050259 rad
Angle ∠ B = β = 39.41097743666° = 39°24'35″ = 0.68878303202 rad
Angle ∠ C = γ = 56.91095912606° = 56°54'35″ = 0.99332597435 rad

Height: ha = 102.2132834865
Height: hb = 160.0221733273
Height: hc = 121.2598704716

Median: ma = 106.2187936338
Median: mb = 165.7710926281
Median: mc = 138.5722183356

Inradius: r = 41.18770283951
Circumradius: R = 96.08438236504

Vertex coordinates: A[161; 0] B[0; 0] C[147.5711428571; 121.2598704716]
Centroid: CG[102.8577142857; 40.42195682386]
Coordinates of the circumscribed circle: U[80.5; 52.45880896266]
Coordinates of the inscribed circle: I[115; 41.18770283951]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 96.31993656271° = 96°19'10″ = 1.461050259 rad
∠ B' = β' = 140.5990225633° = 140°35'25″ = 0.68878303202 rad
∠ C' = γ' = 123.0990408739° = 123°5'25″ = 0.99332597435 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    