# 13 22 23 triangle

### Acute scalene triangle.

Sides: a = 13   b = 22   c = 23

Area: T = 139.5999426933
Perimeter: p = 58
Semiperimeter: s = 29

Angle ∠ A = α = 33.48989663699° = 33°29'20″ = 0.58444927262 rad
Angle ∠ B = β = 69.03111994008° = 69°1'52″ = 1.20548217161 rad
Angle ∠ C = γ = 77.48798342294° = 77°28'47″ = 1.35222782112 rad

Height: ha = 21.47768349128
Height: hb = 12.69108569939
Height: hc = 12.13990806029

Median: ma = 21.54664614264
Median: mb = 15.10996688705
Median: mc = 13.93773598648

Inradius: r = 4.81437733425
Circumradius: R = 11.78801343181

Vertex coordinates: A[23; 0] B[0; 0] C[4.6522173913; 12.13990806029]
Centroid: CG[9.21773913043; 4.0466360201]
Coordinates of the circumscribed circle: U[11.5; 2.55437354116]
Coordinates of the inscribed circle: I[7; 4.81437733425]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.511103363° = 146°30'40″ = 0.58444927262 rad
∠ B' = β' = 110.9698800599° = 110°58'8″ = 1.20548217161 rad
∠ C' = γ' = 102.5220165771° = 102°31'13″ = 1.35222782112 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.