# 11 16 23 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 16   c = 23

Area: T = 79.37325393319
Perimeter: p = 50
Semiperimeter: s = 25

Angle ∠ A = α = 25.55546937848° = 25°33'17″ = 0.44660135459 rad
Angle ∠ B = β = 38.86223042378° = 38°51'44″ = 0.67882751639 rad
Angle ∠ C = γ = 115.5833001977° = 115°34'59″ = 2.01773039438 rad

Height: ha = 14.43113707876
Height: hb = 9.92215674165
Height: hc = 6.90219599419

Median: ma = 19.03328663107
Median: mb = 16.15554944214
Median: mc = 7.5

Inradius: r = 3.17549015733
Circumradius: R = 12.75500015562

Vertex coordinates: A[23; 0] B[0; 0] C[8.56552173913; 6.90219599419]
Centroid: CG[10.52217391304; 2.3010653314]
Coordinates of the circumscribed circle: U[11.5; -5.50656824902]
Coordinates of the inscribed circle: I[9; 3.17549015733]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 154.4455306215° = 154°26'43″ = 0.44660135459 rad
∠ B' = β' = 141.1387695762° = 141°8'16″ = 0.67882751639 rad
∠ C' = γ' = 64.41769980226° = 64°25'1″ = 2.01773039438 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    