# 8 19 26 triangle

### Obtuse scalene triangle.

Sides: a = 8   b = 19   c = 26

Area: T = 42.87770043263
Perimeter: p = 53
Semiperimeter: s = 26.5

Angle ∠ A = α = 9.99766798764° = 9°59'48″ = 0.17444749781 rad
Angle ∠ B = β = 24.3488071582° = 24°20'53″ = 0.42549540156 rad
Angle ∠ C = γ = 145.6555248542° = 145°39'19″ = 2.54221636599 rad

Height: ha = 10.71992510816
Height: hb = 4.51333688765
Height: hc = 3.2988231102

Median: ma = 22.41765117715
Median: mb = 16.72657286837
Median: mc = 6.59554529791

Inradius: r = 1.61880001633
Circumradius: R = 23.04326545773

Vertex coordinates: A[26; 0] B[0; 0] C[7.28884615385; 3.2988231102]
Centroid: CG[11.09661538462; 1.09994103673]
Coordinates of the circumscribed circle: U[13; -19.02553496674]
Coordinates of the inscribed circle: I[7.5; 1.61880001633]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 170.0033320124° = 170°12″ = 0.17444749781 rad
∠ B' = β' = 155.6521928418° = 155°39'7″ = 0.42549540156 rad
∠ C' = γ' = 34.34547514583° = 34°20'41″ = 2.54221636599 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.