# 15 18 29 triangle

### Obtuse scalene triangle.

Sides: a = 15   b = 18   c = 29

Area: T = 113.5610556533
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 25.79215246995° = 25°47'29″ = 0.45501470251 rad
Angle ∠ B = β = 31.47443967758° = 31°28'28″ = 0.54993318538 rad
Angle ∠ C = γ = 122.7344078525° = 122°44'3″ = 2.14221137747 rad

Height: ha = 15.14114075377
Height: hb = 12.61878396147
Height: hc = 7.83217625195

Median: ma = 22.94401394939
Median: mb = 21.26602916255
Median: mc = 8.01656097709

Inradius: r = 3.66332437591
Circumradius: R = 17.2377499179

Vertex coordinates: A[29; 0] B[0; 0] C[12.79331034483; 7.83217625195]
Centroid: CG[13.93110344828; 2.61105875065]
Coordinates of the circumscribed circle: U[14.5; -9.32110180746]
Coordinates of the inscribed circle: I[13; 3.66332437591]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 154.20884753° = 154°12'31″ = 0.45501470251 rad
∠ B' = β' = 148.5265603224° = 148°31'32″ = 0.54993318538 rad
∠ C' = γ' = 57.26659214754° = 57°15'57″ = 2.14221137747 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.