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?

Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. 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     