# 8 23 28 triangle

### Obtuse scalene triangle.

Sides: a = 8   b = 23   c = 28

Area: T = 78.63880156159
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 14.13655915806° = 14°8'8″ = 0.24767126148 rad
Angle ∠ B = β = 44.59877538761° = 44°35'52″ = 0.77883776441 rad
Angle ∠ C = γ = 121.2676654543° = 121°16' = 2.11765023947 rad

Height: ha = 19.6659503904
Height: hb = 6.83880883144
Height: hc = 5.61770011154

Median: ma = 25.30881014697
Median: mb = 17.08106908525
Median: mc = 10.02549688279

Inradius: r = 2.66656954446
Circumradius: R = 16.37988466674

Vertex coordinates: A[28; 0] B[0; 0] C[5.69664285714; 5.61770011154]
Centroid: CG[11.23221428571; 1.87223337051]
Coordinates of the circumscribed circle: U[14; -8.50109774823]
Coordinates of the inscribed circle: I[6.5; 2.66656954446]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 165.8644408419° = 165°51'52″ = 0.24767126148 rad
∠ B' = β' = 135.4022246124° = 135°24'8″ = 0.77883776441 rad
∠ C' = γ' = 58.73333454567° = 58°44' = 2.11765023947 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.