# 22 26 30 triangle

### Acute scalene triangle.

Sides: a = 22   b = 26   c = 30

Area: T = 278.5165708713
Perimeter: p = 78
Semiperimeter: s = 39

Angle ∠ A = α = 45.57329959992° = 45°34'23″ = 0.79553988302 rad
Angle ∠ B = β = 57.56435627878° = 57°33'49″ = 1.00546736998 rad
Angle ∠ C = γ = 76.86334412131° = 76°51'48″ = 1.34215201236 rad

Height: ha = 25.3219609883
Height: hb = 21.42442852856
Height: hc = 18.56877139142

Median: ma = 25.82663431403
Median: mb = 22.86991932521
Median: mc = 18.84114436814

Inradius: r = 7.14114284285
Circumradius: R = 15.40330809243

Vertex coordinates: A[30; 0] B[0; 0] C[11.8; 18.56877139142]
Centroid: CG[13.93333333333; 6.18992379714]
Coordinates of the circumscribed circle: U[15; 3.50107002101]
Coordinates of the inscribed circle: I[13; 7.14114284285]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 134.4277004001° = 134°25'37″ = 0.79553988302 rad
∠ B' = β' = 122.4366437212° = 122°26'11″ = 1.00546736998 rad
∠ C' = γ' = 103.1376558787° = 103°8'12″ = 1.34215201236 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.