# 13 22 26 triangle

### Obtuse scalene triangle.

Sides: a = 13   b = 22   c = 26

Area: T = 142.8844350088
Perimeter: p = 61
Semiperimeter: s = 30.5

Angle ∠ A = α = 29.97332506789° = 29°58'24″ = 0.52331319119 rad
Angle ∠ B = β = 57.72222767733° = 57°43'20″ = 1.00774437814 rad
Angle ∠ C = γ = 92.30444725478° = 92°18'16″ = 1.61110169603 rad

Height: ha = 21.98222077058
Height: hb = 12.98994863716
Height: hc = 10.99111038529

Median: ma = 23.18994372506
Median: mb = 17.36437553542
Median: mc = 12.5549900398

Inradius: r = 4.68547327898
Circumradius: R = 13.01105221381

Vertex coordinates: A[26; 0] B[0; 0] C[6.94223076923; 10.99111038529]
Centroid: CG[10.98107692308; 3.66437012843]
Coordinates of the circumscribed circle: U[13; -0.52331503657]
Coordinates of the inscribed circle: I[8.5; 4.68547327898]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.0276749321° = 150°1'36″ = 0.52331319119 rad
∠ B' = β' = 122.2787723227° = 122°16'40″ = 1.00774437814 rad
∠ C' = γ' = 87.69655274522° = 87°41'44″ = 1.61110169603 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.