# 19 22 26 triangle

### Acute scalene triangle.

Sides: a = 19   b = 22   c = 26

Area: T = 204.6854971358
Perimeter: p = 67
Semiperimeter: s = 33.5

Angle ∠ A = α = 45.69990963168° = 45°41'57″ = 0.79875996959 rad
Angle ∠ B = β = 55.96437990453° = 55°57'50″ = 0.97767525553 rad
Angle ∠ C = γ = 78.33771046379° = 78°20'14″ = 1.36772404024 rad

Height: ha = 21.54657864588
Height: hb = 18.60877246689
Height: hc = 15.74549977968

Median: ma = 22.13302959763
Median: mb = 19.93774020374
Median: mc = 15.92216833281

Inradius: r = 6.1109999145
Circumradius: R = 13.27440571131

Vertex coordinates: A[26; 0] B[0; 0] C[10.63546153846; 15.74549977968]
Centroid: CG[12.21215384615; 5.24883325989]
Coordinates of the circumscribed circle: U[13; 2.68333919284]
Coordinates of the inscribed circle: I[11.5; 6.1109999145]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 134.3010903683° = 134°18'3″ = 0.79875996959 rad
∠ B' = β' = 124.0366200955° = 124°2'10″ = 0.97767525553 rad
∠ C' = γ' = 101.6632895362° = 101°39'46″ = 1.36772404024 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.