# 6 12 16 triangle

### Obtuse scalene triangle.

Sides: a = 6   b = 12   c = 16

Area: T = 30.57877697028
Perimeter: p = 34
Semiperimeter: s = 17

Angle ∠ A = α = 18.57333497187° = 18°34'24″ = 0.32441661057 rad
Angle ∠ B = β = 39.57112194572° = 39°34'16″ = 0.69106480686 rad
Angle ∠ C = γ = 121.8555430824° = 121°51'20″ = 2.12767784793 rad

Height: ha = 10.19325899009
Height: hb = 5.09662949505
Height: hc = 3.82222212129

Median: ma = 13.82202749611
Median: mb = 10.48880884817
Median: mc = 5.09990195136

Inradius: r = 1.79986923355
Circumradius: R = 9.41986071384

Vertex coordinates: A[16; 0] B[0; 0] C[4.625; 3.82222212129]
Centroid: CG[6.875; 1.27440737376]
Coordinates of the circumscribed circle: U[8; -4.97109315453]
Coordinates of the inscribed circle: I[5; 1.79986923355]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 161.4276650281° = 161°25'36″ = 0.32441661057 rad
∠ B' = β' = 140.4298780543° = 140°25'44″ = 0.69106480686 rad
∠ C' = γ' = 58.1454569176° = 58°8'40″ = 2.12767784793 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    