# 10 27 29 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 27   c = 29

Area: T = 134.967666255
Perimeter: p = 66
Semiperimeter: s = 33

Angle ∠ A = α = 20.1666073722° = 20°9'58″ = 0.35219643836 rad
Angle ∠ B = β = 68.56105819166° = 68°33'38″ = 1.19766078915 rad
Angle ∠ C = γ = 91.27333443614° = 91°16'24″ = 1.59330203784 rad

Height: ha = 26.99333325101
Height: hb = 9.99875305593
Height: hc = 9.30880456931

Median: ma = 27.56880975042
Median: mb = 16.97879268463
Median: mc = 14.2921605928

Inradius: r = 4.09898988652
Circumradius: R = 14.50435815735

Vertex coordinates: A[29; 0] B[0; 0] C[3.65551724138; 9.30880456931]
Centroid: CG[10.88550574713; 3.10326818977]
Coordinates of the circumscribed circle: U[14.5; -0.32223018127]
Coordinates of the inscribed circle: I[6; 4.09898988652]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 159.8343926278° = 159°50'2″ = 0.35219643836 rad
∠ B' = β' = 111.4399418083° = 111°26'22″ = 1.19766078915 rad
∠ C' = γ' = 88.72766556386° = 88°43'36″ = 1.59330203784 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.