# 19 22 29 triangle

### Acute scalene triangle.

Sides: a = 19   b = 22   c = 29

Area: T = 208.9987607642
Perimeter: p = 70
Semiperimeter: s = 35

Angle ∠ A = α = 40.93221558081° = 40°55'56″ = 0.71444008888 rad
Angle ∠ B = β = 49.34219877236° = 49°20'31″ = 0.86111801453 rad
Angle ∠ C = γ = 89.72658564683° = 89°43'33″ = 1.56660116195 rad

Height: ha = 221.9997481728
Height: hb = 198.9997825129
Height: hc = 14.41436281132

Median: ma = 23.92217474278
Median: mb = 21.90989023002
Median: mc = 14.56988022843

Inradius: r = 5.97113602183
Circumradius: R = 14.55001659789

Vertex coordinates: A[29; 0] B[0; 0] C[12.37993103448; 14.41436281132]
Centroid: CG[13.79331034483; 4.80545427044]
Coordinates of the circumscribed circle: U[14.5; 0.06993787846]
Coordinates of the inscribed circle: I[13; 5.97113602183]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.0687844192° = 139°4'4″ = 0.71444008888 rad
∠ B' = β' = 130.6588012276° = 130°39'29″ = 0.86111801453 rad
∠ C' = γ' = 90.27441435317° = 90°16'27″ = 1.56660116195 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.