# 13 24 28 triangle

### Obtuse scalene triangle.

Sides: a = 13   b = 24   c = 28

Area: T = 155.6955014371
Perimeter: p = 65
Semiperimeter: s = 32.5

Angle ∠ A = α = 27.6055300635° = 27°36'19″ = 0.48218033871 rad
Angle ∠ B = β = 58.81113776665° = 58°48'41″ = 1.02664521779 rad
Angle ∠ C = γ = 93.58333216985° = 93°35' = 1.63333370886 rad

Height: ha = 23.9533079134
Height: hb = 12.97545845309
Height: hc = 11.12110724551

Median: ma = 25.25437125983
Median: mb = 18.23545825288
Median: mc = 13.28553302556

Inradius: r = 4.79106158268
Circumradius: R = 14.02774241203

Vertex coordinates: A[28; 0] B[0; 0] C[6.73221428571; 11.12110724551]
Centroid: CG[11.57773809524; 3.70770241517]
Coordinates of the circumscribed circle: U[14; -0.87767140075]
Coordinates of the inscribed circle: I[8.5; 4.79106158268]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.3954699365° = 152°23'41″ = 0.48218033871 rad
∠ B' = β' = 121.1898622333° = 121°11'19″ = 1.02664521779 rad
∠ C' = γ' = 86.41766783015° = 86°25' = 1.63333370886 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.