# 22 23 25 triangle

### Acute scalene triangle.

Sides: a = 22   b = 23   c = 25

Area: T = 233.6666428911
Perimeter: p = 70
Semiperimeter: s = 35

Angle ∠ A = α = 54.36657656498° = 54°21'57″ = 0.9498861611 rad
Angle ∠ B = β = 58.17986314749° = 58°10'43″ = 1.01554086735 rad
Angle ∠ C = γ = 67.45656028753° = 67°27'20″ = 1.17773223691 rad

Height: ha = 21.24224026283
Height: hb = 20.31988199053
Height: hc = 18.69333143129

Median: ma = 21.35441565041
Median: mb = 20.5498722588
Median: mc = 18.71549672722

Inradius: r = 6.67661836832
Circumradius: R = 13.53442505757

Vertex coordinates: A[25; 0] B[0; 0] C[11.6; 18.69333143129]
Centroid: CG[12.2; 6.2311104771]
Coordinates of the circumscribed circle: U[12.5; 5.18990209717]
Coordinates of the inscribed circle: I[12; 6.67661836832]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125.634423435° = 125°38'3″ = 0.9498861611 rad
∠ B' = β' = 121.8211368525° = 121°49'17″ = 1.01554086735 rad
∠ C' = γ' = 112.5444397125° = 112°32'40″ = 1.17773223691 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.