# 9 26 29 triangle

### Obtuse scalene triangle.

Sides: a = 9   b = 26   c = 29

Area: T = 115.109995656
Perimeter: p = 64
Semiperimeter: s = 32

Angle ∠ A = α = 17.77765098334° = 17°46'35″ = 0.31102586261 rad
Angle ∠ B = β = 61.88435992727° = 61°53'1″ = 1.08800725603 rad
Angle ∠ C = γ = 100.3439890894° = 100°20'24″ = 1.75112614672 rad

Height: ha = 25.57877681243
Height: hb = 8.85438428123
Height: hc = 7.93879280386

Median: ma = 27.17107563384
Median: mb = 17.08880074906
Median: mc = 12.97111217711

Inradius: r = 3.59768736425
Circumradius: R = 14.73993626437

Vertex coordinates: A[29; 0] B[0; 0] C[4.24113793103; 7.93879280386]
Centroid: CG[11.08804597701; 2.64659760129]
Coordinates of the circumscribed circle: U[14.5; -2.64655266283]
Coordinates of the inscribed circle: I[6; 3.59768736425]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 162.2233490167° = 162°13'25″ = 0.31102586261 rad
∠ B' = β' = 118.1166400727° = 118°6'59″ = 1.08800725603 rad
∠ C' = γ' = 79.66601091061° = 79°39'36″ = 1.75112614672 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    