# 12 13 14 triangle

### Acute scalene triangle.

Sides: a = 12   b = 13   c = 14

Area: T = 72.30879352492
Perimeter: p = 39
Semiperimeter: s = 19.5

Angle ∠ A = α = 52.61768015821° = 52°37' = 0.91883364295 rad
Angle ∠ B = β = 59.40875112549° = 59°24'27″ = 1.03768566718 rad
Angle ∠ C = γ = 67.9765687163° = 67°58'32″ = 1.18663995523 rad

Height: ha = 12.05113225415
Height: hb = 11.12442977306
Height: hc = 10.33297050356

Median: ma = 12.10437184369
Median: mb = 11.30326545555
Median: mc = 10.36882206767

Inradius: r = 3.70880992435
Circumradius: R = 7.55110384596

Vertex coordinates: A[14; 0] B[0; 0] C[6.10771428571; 10.33297050356]
Centroid: CG[6.70223809524; 3.44332350119]
Coordinates of the circumscribed circle: U[7; 2.83216394223]
Coordinates of the inscribed circle: I[6.5; 3.70880992435]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 127.3833198418° = 127°23' = 0.91883364295 rad
∠ B' = β' = 120.5922488745° = 120°35'33″ = 1.03768566718 rad
∠ C' = γ' = 112.0244312837° = 112°1'28″ = 1.18663995523 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.