# 3 12 14 triangle

### Obtuse scalene triangle.

Sides: a = 3   b = 12   c = 14

Area: T = 14.4377364718
Perimeter: p = 29
Semiperimeter: s = 14.5

Angle ∠ A = α = 9.89767597741° = 9°53'48″ = 0.17327310433 rad
Angle ∠ B = β = 43.43220282875° = 43°25'55″ = 0.75880318944 rad
Angle ∠ C = γ = 126.6711211938° = 126°40'16″ = 2.21108297158 rad

Height: ha = 9.6254909812
Height: hb = 2.4066227453
Height: hc = 2.0622480674

Median: ma = 12.9521833847
Median: mb = 8.15547532152
Median: mc = 5.24440442409

Inradius: r = 0.99656803254
Circumradius: R = 8.72773545042

Vertex coordinates: A[14; 0] B[0; 0] C[2.17985714286; 2.0622480674]
Centroid: CG[5.39328571429; 0.6877493558]
Coordinates of the circumscribed circle: U[7; -5.21221700511]
Coordinates of the inscribed circle: I[2.5; 0.99656803254]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 170.1033240226° = 170°6'12″ = 0.17327310433 rad
∠ B' = β' = 136.5687971712° = 136°34'5″ = 0.75880318944 rad
∠ C' = γ' = 53.32987880616° = 53°19'44″ = 2.21108297158 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.