# 15 17 29 triangle

### Obtuse scalene triangle.

Sides: a = 15   b = 17   c = 29

Area: T = 97.84326670732
Perimeter: p = 61
Semiperimeter: s = 30.5

Angle ∠ A = α = 23.38662513464° = 23°23'10″ = 0.40881670857 rad
Angle ∠ B = β = 26.73441466638° = 26°44'3″ = 0.4676598882 rad
Angle ∠ C = γ = 129.887960199° = 129°52'47″ = 2.26768266859 rad

Height: ha = 13.04656889431
Height: hb = 11.51109020086
Height: hc = 6.7487770143

Median: ma = 22.55554871373
Median: mb = 21.46550879337
Median: mc = 6.83773971656

Inradius: r = 3.20879562975
Circumradius: R = 18.895513088

Vertex coordinates: A[29; 0] B[0; 0] C[13.39765517241; 6.7487770143]
Centroid: CG[14.1322183908; 2.24992567143]
Coordinates of the circumscribed circle: U[14.5; -12.1155113329]
Coordinates of the inscribed circle: I[13.5; 3.20879562975]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.6143748654° = 156°36'50″ = 0.40881670857 rad
∠ B' = β' = 153.2665853336° = 153°15'57″ = 0.4676598882 rad
∠ C' = γ' = 50.12203980102° = 50°7'13″ = 2.26768266859 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.