# 19 26 28 triangle

### Acute scalene triangle.

Sides: a = 19   b = 26   c = 28

Area: T = 238.7644397472
Perimeter: p = 73
Semiperimeter: s = 36.5

Angle ∠ A = α = 40.99114308137° = 40°59'29″ = 0.71554354328 rad
Angle ∠ B = β = 63.84657364853° = 63°50'45″ = 1.1144318315 rad
Angle ∠ C = γ = 75.1632832701° = 75°9'46″ = 1.31218389058 rad

Height: ha = 25.13330944707
Height: hb = 18.36664921132
Height: hc = 17.05545998194

Median: ma = 25.29332797399
Median: mb = 20.08773094266
Median: mc = 17.95882849961

Inradius: r = 6.54114903417
Circumradius: R = 14.48328962635

Vertex coordinates: A[28; 0] B[0; 0] C[8.375; 17.05545998194]
Centroid: CG[12.125; 5.68548666065]
Coordinates of the circumscribed circle: U[14; 3.70986768772]
Coordinates of the inscribed circle: I[10.5; 6.54114903417]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.0098569186° = 139°31″ = 0.71554354328 rad
∠ B' = β' = 116.1544263515° = 116°9'15″ = 1.1144318315 rad
∠ C' = γ' = 104.8377167299° = 104°50'14″ = 1.31218389058 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.