# 10 17 23 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 17   c = 23

Area: T = 77.46596669241
Perimeter: p = 50
Semiperimeter: s = 25

Angle ∠ A = α = 23.34216553766° = 23°20'30″ = 0.40773887392 rad
Angle ∠ B = β = 42.34326054522° = 42°20'33″ = 0.7399017879 rad
Angle ∠ C = γ = 114.3165739171° = 114°18'57″ = 1.99551860354 rad

Height: ha = 15.49219333848
Height: hb = 9.11329019911
Height: hc = 6.73656232108

Median: ma = 19.59659179423
Median: mb = 15.56443824163
Median: mc = 7.8989866919

Inradius: r = 3.0988386677
Circumradius: R = 12.61994707364

Vertex coordinates: A[23; 0] B[0; 0] C[7.39113043478; 6.73656232108]
Centroid: CG[10.13304347826; 2.24552077369]
Coordinates of the circumscribed circle: U[11.5; -5.19662526562]
Coordinates of the inscribed circle: I[8; 3.0988386677]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.6588344623° = 156°39'30″ = 0.40773887392 rad
∠ B' = β' = 137.6577394548° = 137°39'27″ = 0.7399017879 rad
∠ C' = γ' = 65.68442608288° = 65°41'3″ = 1.99551860354 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    