# 8 24 28 triangle

### Obtuse scalene triangle.

Sides: a = 8   b = 24   c = 28

Area: T = 88.99443818451
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 15.35988855808° = 15°21'32″ = 0.26880631228 rad
Angle ∠ B = β = 52.61768015821° = 52°37' = 0.91883364295 rad
Angle ∠ C = γ = 112.0244312837° = 112°1'28″ = 1.95551931013 rad

Height: ha = 22.24985954613
Height: hb = 7.41661984871
Height: hc = 6.35767415604

Median: ma = 25.76881974535
Median: mb = 16.73332005307
Median: mc = 11.13655287257

Inradius: r = 2.96664793948
Circumradius: R = 15.10220769192

Vertex coordinates: A[28; 0] B[0; 0] C[4.85771428571; 6.35767415604]
Centroid: CG[10.95223809524; 2.11989138535]
Coordinates of the circumscribed circle: U[14; -5.66332788447]
Coordinates of the inscribed circle: I[6; 2.96664793948]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 164.6411114419° = 164°38'28″ = 0.26880631228 rad
∠ B' = β' = 127.3833198418° = 127°23' = 0.91883364295 rad
∠ C' = γ' = 67.9765687163° = 67°58'32″ = 1.95551931013 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.