# 22 27 29 triangle

### Acute scalene triangle.

Sides: a = 22   b = 27   c = 29

Area: T = 282.0643822565
Perimeter: p = 78
Semiperimeter: s = 39

Angle ∠ A = α = 46.09332596507° = 46°5'36″ = 0.80444791439 rad
Angle ∠ B = β = 62.15547800217° = 62°9'17″ = 1.08548055572 rad
Angle ∠ C = γ = 71.75219603276° = 71°45'7″ = 1.25223079525 rad

Height: ha = 25.64221656877
Height: hb = 20.89436164863
Height: hc = 19.45326774183

Median: ma = 25.76881974535
Median: mb = 21.91546070008
Median: mc = 19.90660292374

Inradius: r = 7.23224057068
Circumradius: R = 15.26878211649

Vertex coordinates: A[29; 0] B[0; 0] C[10.2765862069; 19.45326774183]
Centroid: CG[13.0921954023; 6.48442258061]
Coordinates of the circumscribed circle: U[14.5; 4.781083289]
Coordinates of the inscribed circle: I[12; 7.23224057068]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 133.9076740349° = 133°54'24″ = 0.80444791439 rad
∠ B' = β' = 117.8455219978° = 117°50'43″ = 1.08548055572 rad
∠ C' = γ' = 108.2488039672° = 108°14'53″ = 1.25223079525 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.