# 17.09 19.1 8.54 triangle

### Acute scalene triangle.

Sides: a = 17.09   b = 19.1   c = 8.54

Area: T = 72.97442845896
Perimeter: p = 44.73
Semiperimeter: s = 22.365

Angle ∠ A = α = 63.47881592307° = 63°28'41″ = 1.10879028817 rad
Angle ∠ B = β = 89.96327642535° = 89°57'46″ = 1.57701464404 rad
Angle ∠ C = γ = 26.55990765158° = 26°33'33″ = 0.46435433315 rad

Height: ha = 8.54399981966
Height: hb = 7.64112863445
Height: hc = 17.0989996391

Median: ma = 12.07769936242
Median: mb = 9.55549646781
Median: mc = 17.61326701553

Inradius: r = 3.26328788102
Circumradius: R = 9.55500020167

Vertex coordinates: A[8.54; 0] B[0; 0] C[0.01111065574; 17.0989996391]
Centroid: CG[2.85503688525; 5.69766654637]
Coordinates of the circumscribed circle: U[4.27; 8.54222267893]
Coordinates of the inscribed circle: I[3.265; 3.26328788102]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 116.5221840769° = 116°31'19″ = 1.10879028817 rad
∠ B' = β' = 90.03772357465° = 90°2'14″ = 1.57701464404 rad
∠ C' = γ' = 153.4410923484° = 153°26'27″ = 0.46435433315 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    