# 16.85 7.35 10.08 triangle

### Obtuse scalene triangle.

Sides: a = 16.85   b = 7.35   c = 10.08

Area: T = 18.53552353219
Perimeter: p = 34.28
Semiperimeter: s = 17.14

Angle ∠ A = α = 149.9766359297° = 149°58'35″ = 2.61875812699 rad
Angle ∠ B = β = 12.607666351° = 12°36'24″ = 0.22200277859 rad
Angle ∠ C = γ = 17.41769771926° = 17°25'1″ = 0.30439835978 rad

Height: ha = 2.22000279314
Height: hb = 5.04436014481
Height: hc = 3.67876260559

Median: ma = 2.61441585644
Median: mb = 13.38987574106
Median: mc = 11.98221074941

Inradius: r = 1.08114022942
Circumradius: R = 16.83879680419

Vertex coordinates: A[10.08; 0] B[0; 0] C[16.44437698413; 3.67876260559]
Centroid: CG[8.84112566138; 1.2265875352]
Coordinates of the circumscribed circle: U[5.04; 16.06659754693]
Coordinates of the inscribed circle: I[9.79; 1.08114022942]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 30.02436407026° = 30°1'25″ = 2.61875812699 rad
∠ B' = β' = 167.393333649° = 167°23'36″ = 0.22200277859 rad
∠ C' = γ' = 162.5833022807° = 162°34'59″ = 0.30439835978 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    