# 48 55 73 triangle

### Right scalene triangle.

Sides: a = 48   b = 55   c = 73

Area: T = 1320
Perimeter: p = 176
Semiperimeter: s = 88

Angle ∠ A = α = 41.11220904392° = 41°6'44″ = 0.71875413405 rad
Angle ∠ B = β = 48.88879095608° = 48°53'16″ = 0.85332549863 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 55
Height: hb = 48
Height: hc = 36.16443835616

Median: ma = 60.00883327547
Median: mb = 55.32195263899
Median: mc = 36.5

Inradius: r = 15
Circumradius: R = 36.5

Vertex coordinates: A[73; 0] B[0; 0] C[31.56216438356; 36.16443835616]
Centroid: CG[34.85438812785; 12.05547945205]
Coordinates of the circumscribed circle: U[36.5; 0]
Coordinates of the inscribed circle: I[33; 15]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.8887909561° = 138°53'16″ = 0.71875413405 rad
∠ B' = β' = 131.1122090439° = 131°6'44″ = 0.85332549863 rad
∠ C' = γ' = 90° = 1.57107963268 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    