# 22 28 29 triangle

### Acute scalene triangle.

Sides: a = 22   b = 28   c = 29

Area: T = 288.9099047106
Perimeter: p = 79
Semiperimeter: s = 39.5

Angle ∠ A = α = 45.3655134224° = 45°21'54″ = 0.79217709578 rad
Angle ∠ B = β = 64.91438068357° = 64°54'50″ = 1.13329596593 rad
Angle ∠ C = γ = 69.72110589402° = 69°43'16″ = 1.21768620365 rad

Height: ha = 26.26444588279
Height: hb = 20.63663605076
Height: hc = 19.92547618694

Median: ma = 26.29663875846
Median: mb = 21.59986110665
Median: mc = 20.58551888502

Inradius: r = 7.31441530913
Circumradius: R = 15.45881521234

Vertex coordinates: A[29; 0] B[0; 0] C[9.32875862069; 19.92547618694]
Centroid: CG[12.7765862069; 6.64215872898]
Coordinates of the circumscribed circle: U[14.5; 5.35876549973]
Coordinates of the inscribed circle: I[11.5; 7.31441530913]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 134.6354865776° = 134°38'6″ = 0.79217709578 rad
∠ B' = β' = 115.0866193164° = 115°5'10″ = 1.13329596593 rad
∠ C' = γ' = 110.279894106° = 110°16'44″ = 1.21768620365 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.