# 15 16 28 triangle

### Obtuse scalene triangle.

Sides: a = 15   b = 16   c = 28

Area: T = 93.07695304598
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 24.55501133573° = 24°33' = 0.42884803098 rad
Angle ∠ B = β = 26.30774810463° = 26°18'27″ = 0.45991521622 rad
Angle ∠ C = γ = 129.1422405596° = 129°8'33″ = 2.25439601816 rad

Height: ha = 12.4099270728
Height: hb = 11.63436913075
Height: hc = 6.64878236043

Median: ma = 21.53548554674
Median: mb = 20.98880918618
Median: mc = 6.67108320321

Inradius: r = 3.15548993376
Circumradius: R = 18.05110204758

Vertex coordinates: A[28; 0] B[0; 0] C[13.44664285714; 6.64878236043]
Centroid: CG[13.81554761905; 2.21659412014]
Coordinates of the circumscribed circle: U[14; -11.39547066753]
Coordinates of the inscribed circle: I[13.5; 3.15548993376]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.4549886643° = 155°27' = 0.42884803098 rad
∠ B' = β' = 153.6932518954° = 153°41'33″ = 0.45991521622 rad
∠ C' = γ' = 50.85875944036° = 50°51'27″ = 2.25439601816 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.