# 58 83 31 triangle

### Obtuse scalene triangle.

Sides: a = 58   b = 83   c = 31

Area: T = 630.3333245197
Perimeter: p = 172
Semiperimeter: s = 86

Angle ∠ A = α = 29.33879374642° = 29°20'17″ = 0.51220436045 rad
Angle ∠ B = β = 135.4810712428° = 135°28'51″ = 2.36545845048 rad
Angle ∠ C = γ = 15.18113501079° = 15°10'53″ = 0.26549645443 rad

Height: ha = 21.73656291447
Height: hb = 15.18987528963
Height: hc = 40.66766609804

Median: ma = 55.53437735077
Median: mb = 20.98221352584
Median: mc = 69.90217167171

Inradius: r = 7.32994563395
Circumradius: R = 59.18985328662

Vertex coordinates: A[31; 0] B[0; 0] C[-41.35548387097; 40.66766609804]
Centroid: CG[-3.45216129032; 13.55655536601]
Coordinates of the circumscribed circle: U[15.5; 57.12329588069]
Coordinates of the inscribed circle: I[3; 7.32994563395]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.6622062536° = 150°39'43″ = 0.51220436045 rad
∠ B' = β' = 44.51992875721° = 44°31'9″ = 2.36545845048 rad
∠ C' = γ' = 164.8198649892° = 164°49'7″ = 0.26549645443 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    