# 10 23 29 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 23   c = 29

Area: T = 102.0598806577
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 17.82197451748° = 17°49'11″ = 0.31110132252 rad
Angle ∠ B = β = 44.7377021623° = 44°44'13″ = 0.78108083249 rad
Angle ∠ C = γ = 117.4433233202° = 117°26'36″ = 2.05497711036 rad

Height: ha = 20.41217613155
Height: hb = 8.87546788328
Height: hc = 7.03985383846

Median: ma = 25.69904651573
Median: mb = 18.39215741577
Median: mc = 10.21102889283

Inradius: r = 3.2922219567
Circumradius: R = 16.33986194286

Vertex coordinates: A[29; 0] B[0; 0] C[7.10334482759; 7.03985383846]
Centroid: CG[12.03444827586; 2.34661794615]
Coordinates of the circumscribed circle: U[14.5; -7.53299724323]
Coordinates of the inscribed circle: I[8; 3.2922219567]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 162.1880254825° = 162°10'49″ = 0.31110132252 rad
∠ B' = β' = 135.2632978377° = 135°15'47″ = 0.78108083249 rad
∠ C' = γ' = 62.55767667978° = 62°33'24″ = 2.05497711036 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    