# 19 21 29 triangle

### Obtuse scalene triangle.

Sides: a = 19   b = 21   c = 29

Area: T = 199.2621605685
Perimeter: p = 69
Semiperimeter: s = 34.5

Angle ∠ A = α = 40.87333755385° = 40°52'24″ = 0.71333749796 rad
Angle ∠ B = β = 46.32553388901° = 46°19'31″ = 0.80985296907 rad
Angle ∠ C = γ = 92.80112855715° = 92°48'5″ = 1.62196879833 rad

Height: ha = 20.97549058615
Height: hb = 18.97772957795
Height: hc = 13.74221797024

Median: ma = 23.46880634054
Median: mb = 22.15328779169
Median: mc = 13.81112273169

Inradius: r = 5.77656987155
Circumradius: R = 14.51773476348

Vertex coordinates: A[29; 0] B[0; 0] C[13.12106896552; 13.74221797024]
Centroid: CG[14.04402298851; 4.58107265675]
Coordinates of the circumscribed circle: U[14.5; -0.70994944333]
Coordinates of the inscribed circle: I[13.5; 5.77656987155]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.1276624462° = 139°7'36″ = 0.71333749796 rad
∠ B' = β' = 133.675466111° = 133°40'29″ = 0.80985296907 rad
∠ C' = γ' = 87.19987144285° = 87°11'55″ = 1.62196879833 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.