# 7 10 16 triangle

### Obtuse scalene triangle.

Sides: a = 7   b = 10   c = 16

Area: T = 22.57107221861
Perimeter: p = 33
Semiperimeter: s = 16.5

Angle ∠ A = α = 16.38876115035° = 16°23'15″ = 0.28660177773 rad
Angle ∠ B = β = 23.76989007051° = 23°46'8″ = 0.41548455769 rad
Angle ∠ C = γ = 139.8433487791° = 139°50'37″ = 2.44107292994 rad

Height: ha = 6.44987777674
Height: hb = 4.51441444372
Height: hc = 2.82113402733

Median: ma = 12.87443931896
Median: mb = 11.29215897906
Median: mc = 3.24403703492

Inradius: r = 1.36879225567
Circumradius: R = 12.40554515266

Vertex coordinates: A[16; 0] B[0; 0] C[6.406625; 2.82113402733]
Centroid: CG[7.469875; 0.94404467578]
Coordinates of the circumscribed circle: U[8; -9.48113093811]
Coordinates of the inscribed circle: I[6.5; 1.36879225567]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 163.6122388497° = 163°36'45″ = 0.28660177773 rad
∠ B' = β' = 156.2311099295° = 156°13'52″ = 0.41548455769 rad
∠ C' = γ' = 40.15765122086° = 40°9'23″ = 2.44107292994 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    