# 12 24 29 triangle

### Obtuse scalene triangle.

Sides: a = 12   b = 24   c = 29

Area: T = 140.7876851304
Perimeter: p = 65
Semiperimeter: s = 32.5

Angle ∠ A = α = 23.86435522517° = 23°51'49″ = 0.4166497558 rad
Angle ∠ B = β = 54.0110025852° = 54°36″ = 0.94326527802 rad
Angle ∠ C = γ = 102.1266421896° = 102°7'35″ = 1.78224423154 rad

Height: ha = 23.46444752173
Height: hb = 11.73222376086
Height: hc = 9.70994380209

Median: ma = 25.93326049598
Median: mb = 18.66881547026
Median: mc = 12.23772382505

Inradius: r = 4.3321903117
Circumradius: R = 14.83109304503

Vertex coordinates: A[29; 0] B[0; 0] C[7.05217241379; 9.70994380209]
Centroid: CG[12.01772413793; 3.23664793403]
Coordinates of the circumscribed circle: U[14.5; -3.11655253203]
Coordinates of the inscribed circle: I[8.5; 4.3321903117]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.1366447748° = 156°8'11″ = 0.4166497558 rad
∠ B' = β' = 125.9989974148° = 125°59'24″ = 0.94326527802 rad
∠ C' = γ' = 77.87435781037° = 77°52'25″ = 1.78224423154 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 ### 6. Inradius ### 7. Circumradius ### 8. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.