# 11 12 14 triangle

### Acute scalene triangle.

Sides: a = 11   b = 12   c = 14

Area: T = 63.70658670767
Perimeter: p = 37
Semiperimeter: s = 18.5

Angle ∠ A = α = 49.32436272308° = 49°19'25″ = 0.86108596942 rad
Angle ∠ B = β = 55.82773636603° = 55°49'38″ = 0.97443713086 rad
Angle ∠ C = γ = 74.84990091089° = 74°50'56″ = 1.30663616508 rad

Height: ha = 11.5832884923
Height: hb = 10.61876445128
Height: hc = 9.10108381538

Median: ma = 11.82215904175
Median: mb = 11.06879718106
Median: mc = 9.13878334412

Inradius: r = 3.44435603825
Circumradius: R = 7.25220793013

Vertex coordinates: A[14; 0] B[0; 0] C[6.17985714286; 9.10108381538]
Centroid: CG[6.72661904762; 3.03436127179]
Coordinates of the circumscribed circle: U[7; 1.89554298174]
Coordinates of the inscribed circle: I[6.5; 3.44435603825]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 130.6766372769° = 130°40'35″ = 0.86108596942 rad
∠ B' = β' = 124.173263634° = 124°10'22″ = 0.97443713086 rad
∠ C' = γ' = 105.1510990891° = 105°9'4″ = 1.30663616508 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.