# 22 25 28 triangle

### Acute scalene triangle.

Sides: a = 22   b = 25   c = 28

Area: T = 262.7233119462
Perimeter: p = 75
Semiperimeter: s = 37.5

Angle ∠ A = α = 48.64656289465° = 48°38'44″ = 0.84990263918 rad
Angle ∠ B = β = 58.53991669546° = 58°32'21″ = 1.02217012047 rad
Angle ∠ C = γ = 72.81552040989° = 72°48'55″ = 1.2710865057 rad

Height: ha = 23.88439199511
Height: hb = 21.0187849557
Height: hc = 18.76659371044

Median: ma = 24.15657446584
Median: mb = 21.85774929944
Median: mc = 18.93440962288

Inradius: r = 7.00659498523
Circumradius: R = 14.65442108966

Vertex coordinates: A[28; 0] B[0; 0] C[11.48221428571; 18.76659371044]
Centroid: CG[13.16107142857; 6.25553123681]
Coordinates of the circumscribed circle: U[14; 4.33296532194]
Coordinates of the inscribed circle: I[12.5; 7.00659498523]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 131.3544371054° = 131°21'16″ = 0.84990263918 rad
∠ B' = β' = 121.4610833045° = 121°27'39″ = 1.02217012047 rad
∠ C' = γ' = 107.1854795901° = 107°11'5″ = 1.2710865057 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.