# 9 27 29 triangle

### Obtuse scalene triangle.

Sides: a = 9   b = 27   c = 29

Area: T = 121.2532577292
Perimeter: p = 65
Semiperimeter: s = 32.5

Angle ∠ A = α = 18.04219258202° = 18°2'31″ = 0.3154891009 rad
Angle ∠ B = β = 68.30109223033° = 68°18'3″ = 1.19220759763 rad
Angle ∠ C = γ = 93.65771518766° = 93°39'26″ = 1.63546256683 rad

Height: ha = 26.9455017176
Height: hb = 8.9821672392
Height: hc = 8.36222467098

Median: ma = 27.6544113618
Median: mb = 16.69658078571
Median: mc = 13.9555285737

Inradius: r = 3.73108485321
Circumradius: R = 14.5329588066

Vertex coordinates: A[29; 0] B[0; 0] C[3.32875862069; 8.36222467098]
Centroid: CG[10.7765862069; 2.78774155699]
Coordinates of the circumscribed circle: U[14.5; -0.9276784424]
Coordinates of the inscribed circle: I[5.5; 3.73108485321]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 161.958807418° = 161°57'29″ = 0.3154891009 rad
∠ B' = β' = 111.6999077697° = 111°41'57″ = 1.19220759763 rad
∠ C' = γ' = 86.34328481234° = 86°20'34″ = 1.63546256683 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.