# 158 185 201 triangle

### Acute scalene triangle.

Sides: a = 158   b = 185   c = 201

Area: T = 13839.66882041
Perimeter: p = 544
Semiperimeter: s = 272

Angle ∠ A = α = 48.10548720485° = 48°6'18″ = 0.84395884035 rad
Angle ∠ B = β = 60.64216595114° = 60°38'30″ = 1.05883966223 rad
Angle ∠ C = γ = 71.25334684402° = 71°15'12″ = 1.24436076277 rad

Height: ha = 175.186567347
Height: hb = 149.6188034639
Height: hc = 137.7088141334

Median: ma = 176.2732516292
Median: mb = 155.326626951
Median: mc = 139.6221810617

Inradius: r = 50.88111331034
Circumradius: R = 106.1330253872

Vertex coordinates: A[201; 0] B[0; 0] C[77.46326865672; 137.7088141334]
Centroid: CG[92.82108955224; 45.90327137782]
Coordinates of the circumscribed circle: U[100.5; 34.10883682815]
Coordinates of the inscribed circle: I[87; 50.88111331034]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 131.8955127952° = 131°53'42″ = 0.84395884035 rad
∠ B' = β' = 119.3588340489° = 119°21'30″ = 1.05883966223 rad
∠ C' = γ' = 108.747653156° = 108°44'48″ = 1.24436076277 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    