# 3 13 14 triangle

### Obtuse scalene triangle.

Sides: a = 3   b = 13   c = 14

Area: T = 18.9743665961
Perimeter: p = 30
Semiperimeter: s = 15

Angle ∠ A = α = 12.03545697281° = 12°2'4″ = 0.21100428658 rad
Angle ∠ B = β = 64.62330664748° = 64°37'23″ = 1.12878852827 rad
Angle ∠ C = γ = 103.3422363797° = 103°20'32″ = 1.80436645051 rad

Height: ha = 12.64991106407
Height: hb = 2.91990255325
Height: hc = 2.71105237087

Median: ma = 13.42657215821
Median: mb = 7.76220873481
Median: mc = 6.32545553203

Inradius: r = 1.26549110641
Circumradius: R = 7.19441816769

Vertex coordinates: A[14; 0] B[0; 0] C[1.28657142857; 2.71105237087]
Centroid: CG[5.09552380952; 0.90435079029]
Coordinates of the circumscribed circle: U[7; -1.66601957716]
Coordinates of the inscribed circle: I[2; 1.26549110641]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 167.9655430272° = 167°57'56″ = 0.21100428658 rad
∠ B' = β' = 115.3776933525° = 115°22'37″ = 1.12878852827 rad
∠ C' = γ' = 76.65876362029° = 76°39'28″ = 1.80436645051 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.