# 20 22 25 triangle

### Acute scalene triangle.

Sides: a = 20   b = 22   c = 25

Area: T = 210.2565647962
Perimeter: p = 67
Semiperimeter: s = 33.5

Angle ∠ A = α = 49.86883962361° = 49°52'6″ = 0.8770367707 rad
Angle ∠ B = β = 57.24882608451° = 57°14'54″ = 0.99991706428 rad
Angle ∠ C = γ = 72.88333429188° = 72°53' = 1.27220543038 rad

Height: ha = 21.02655647962
Height: hb = 19.11441498147
Height: hc = 16.8220451837

Median: ma = 21.31990056053
Median: mb = 19.78663589374
Median: mc = 16.90441415044

Inradius: r = 6.27662879989
Circumradius: R = 13.07993157123

Vertex coordinates: A[25; 0] B[0; 0] C[10.82; 16.8220451837]
Centroid: CG[11.94; 5.6076817279]
Coordinates of the circumscribed circle: U[12.5; 3.84994804199]
Coordinates of the inscribed circle: I[11.5; 6.27662879989]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 130.1321603764° = 130°7'54″ = 0.8770367707 rad
∠ B' = β' = 122.7521739155° = 122°45'6″ = 0.99991706428 rad
∠ C' = γ' = 107.1176657081° = 107°7' = 1.27220543038 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.