# 45.3 36.1 74.37 triangle

### Obtuse scalene triangle.

Sides: a = 45.3   b = 36.1   c = 74.37

Area: T = 610.5322296664
Perimeter: p = 155.77
Semiperimeter: s = 77.885

Angle ∠ A = α = 27.05329558741° = 27°3'11″ = 0.47221631524 rad
Angle ∠ B = β = 21.25504557803° = 21°15'2″ = 0.37108904209 rad
Angle ∠ C = γ = 131.6976588346° = 131°41'48″ = 2.29985390803 rad

Height: ha = 26.95550682854
Height: hb = 33.82545039703
Height: hc = 16.41987789879

Median: ma = 53.8899061506
Median: mb = 58.87701193306
Median: mc = 17.17334031281

Inradius: r = 7.83988944811
Circumradius: R = 49.80105972676

Vertex coordinates: A[74.37; 0] B[0; 0] C[42.22198258706; 16.41987789879]
Centroid: CG[38.86332752902; 5.47329263293]
Coordinates of the circumscribed circle: U[37.185; -33.1276654875]
Coordinates of the inscribed circle: I[41.785; 7.83988944811]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.9477044126° = 152°56'49″ = 0.47221631524 rad
∠ B' = β' = 158.754954422° = 158°44'58″ = 0.37108904209 rad
∠ C' = γ' = 48.30334116544° = 48°18'12″ = 2.29985390803 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    