# 12 19 29 triangle

### Obtuse scalene triangle.

Sides: a = 12   b = 19   c = 29

Area: T = 77.0711395472
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 16.24553430883° = 16°14'43″ = 0.2843534725 rad
Angle ∠ B = β = 26.29215552747° = 26°17'30″ = 0.4598874205 rad
Angle ∠ C = γ = 137.4633101637° = 137°27'47″ = 2.39991837236 rad

Height: ha = 12.84552325787
Height: hb = 8.11327784707
Height: hc = 5.31552686532

Median: ma = 23.7769728648
Median: mb = 20.05661711201
Median: mc = 6.5

Inradius: r = 2.56990465157
Circumradius: R = 21.44876459117

Vertex coordinates: A[29; 0] B[0; 0] C[10.75986206897; 5.31552686532]
Centroid: CG[13.25328735632; 1.77217562177]
Coordinates of the circumscribed circle: U[14.5; -15.80435285665]
Coordinates of the inscribed circle: I[11; 2.56990465157]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 163.7554656912° = 163°45'17″ = 0.2843534725 rad
∠ B' = β' = 153.7088444725° = 153°42'30″ = 0.4598874205 rad
∠ C' = γ' = 42.5376898363° = 42°32'13″ = 2.39991837236 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.