# 15 20 29 triangle

### Obtuse scalene triangle.

Sides: a = 15   b = 20   c = 29

Area: T = 139.9432845476
Perimeter: p = 64
Semiperimeter: s = 32

Angle ∠ A = α = 28.85328340448° = 28°51'10″ = 0.50435769526 rad
Angle ∠ B = β = 40.04769699311° = 40°2'49″ = 0.69989514807 rad
Angle ∠ C = γ = 111.1100196024° = 111°6'1″ = 1.93990642202 rad

Height: ha = 18.65990460635
Height: hb = 13.99442845476
Height: hc = 9.65112307225

Median: ma = 23.75439470404
Median: mb = 20.80986520467
Median: mc = 10.11218742081

Inradius: r = 4.37332139211
Circumradius: R = 15.54220592785

Vertex coordinates: A[29; 0] B[0; 0] C[11.48327586207; 9.65112307225]
Centroid: CG[13.49442528736; 3.21770769075]
Coordinates of the circumscribed circle: U[14.5; -5.59551413403]
Coordinates of the inscribed circle: I[12; 4.37332139211]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.1477165955° = 151°8'50″ = 0.50435769526 rad
∠ B' = β' = 139.9533030069° = 139°57'11″ = 0.69989514807 rad
∠ C' = γ' = 68.98998039759° = 68°53'59″ = 1.93990642202 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.