# 14 17 28 triangle

### Obtuse scalene triangle.

Sides: a = 14   b = 17   c = 28

Area: T = 92.59328587959
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 22.89551284418° = 22°53'42″ = 0.4399595374 rad
Angle ∠ B = β = 28.19110143445° = 28°11'28″ = 0.49220260198 rad
Angle ∠ C = γ = 128.9143857214° = 128°54'50″ = 2.25499712598 rad

Height: ha = 13.22875512566
Height: hb = 10.89332775054
Height: hc = 6.61437756283

Median: ma = 22.07994021658
Median: mb = 20.4398933436
Median: mc = 6.81990908485

Inradius: r = 3.13987409761
Circumradius: R = 17.99327482709

Vertex coordinates: A[28; 0] B[0; 0] C[12.33992857143; 6.61437756283]
Centroid: CG[13.44664285714; 2.20545918761]
Coordinates of the circumscribed circle: U[14; -11.30221675063]
Coordinates of the inscribed circle: I[12.5; 3.13987409761]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 157.1054871558° = 157°6'18″ = 0.4399595374 rad
∠ B' = β' = 151.8098985656° = 151°48'32″ = 0.49220260198 rad
∠ C' = γ' = 51.08661427862° = 51°5'10″ = 2.25499712598 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.