# 22 26 27 triangle

### Acute scalene triangle.

Sides: a = 22   b = 26   c = 27

Area: T = 264.9266286918
Perimeter: p = 75
Semiperimeter: s = 37.5

Angle ∠ A = α = 49.00657788267° = 49°21″ = 0.8555312193 rad
Angle ∠ B = β = 63.12766279273° = 63°7'36″ = 1.1021767503 rad
Angle ∠ C = γ = 67.8687593246° = 67°52'3″ = 1.18545129575 rad

Height: ha = 24.08442079016
Height: hb = 20.37989451475
Height: hc = 19.62441694013

Median: ma = 24.11443111036
Median: mb = 20.91765006634
Median: mc = 19.94436706752

Inradius: r = 7.06547009845
Circumradius: R = 14.57438652246

Vertex coordinates: A[27; 0] B[0; 0] C[9.94444444444; 19.62441694013]
Centroid: CG[12.31548148148; 6.54113898004]
Coordinates of the circumscribed circle: U[13.5; 5.49106782446]
Coordinates of the inscribed circle: I[11.5; 7.06547009845]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 130.9944221173° = 130°59'39″ = 0.8555312193 rad
∠ B' = β' = 116.8733372073° = 116°52'24″ = 1.1021767503 rad
∠ C' = γ' = 112.1322406754° = 112°7'57″ = 1.18545129575 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.