# 19 26 29 triangle

### Acute scalene triangle.

Sides: a = 19   b = 26   c = 29

Area: T = 242.0910892022
Perimeter: p = 74
Semiperimeter: s = 37

Angle ∠ A = α = 39.95223948559° = 39°57'9″ = 0.69773008343 rad
Angle ∠ B = β = 61.49898800871° = 61°29'24″ = 1.07332008642 rad
Angle ∠ C = γ = 78.5587725057° = 78°33'28″ = 1.37110909551 rad

Height: ha = 25.48332517918
Height: hb = 18.62223763094
Height: hc = 16.69659235877

Median: ma = 25.85105319094
Median: mb = 20.78546096908
Median: mc = 17.55770498661

Inradius: r = 6.54329970817
Circumradius: R = 14.79440303333

Vertex coordinates: A[29; 0] B[0; 0] C[9.06989655172; 16.69659235877]
Centroid: CG[12.69896551724; 5.56553078626]
Coordinates of the circumscribed circle: U[14.5; 2.93548481228]
Coordinates of the inscribed circle: I[11; 6.54329970817]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 140.0487605144° = 140°2'51″ = 0.69773008343 rad
∠ B' = β' = 118.5110119913° = 118°30'36″ = 1.07332008642 rad
∠ C' = γ' = 101.4422274943° = 101°26'32″ = 1.37110909551 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.