# 12 23 27 triangle

### Obtuse scalene triangle.

Sides: a = 12   b = 23   c = 27

Area: T = 137.2888018414
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 26.24112314813° = 26°14'28″ = 0.45879958891 rad
Angle ∠ B = β = 57.9366136214° = 57°56'10″ = 1.01111763328 rad
Angle ∠ C = γ = 95.82326323048° = 95°49'21″ = 1.67224204316 rad

Height: ha = 22.88113364023
Height: hb = 11.93880885577
Height: hc = 10.16994828455

Median: ma = 24.35215913238
Median: mb = 17.44327635425
Median: mc = 12.42197423484

Inradius: r = 4.42986457553
Circumradius: R = 13.57700115824

Vertex coordinates: A[27; 0] B[0; 0] C[6.37703703704; 10.16994828455]
Centroid: CG[11.12334567901; 3.39898276152]
Coordinates of the circumscribed circle: U[13.5; -1.37766678417]
Coordinates of the inscribed circle: I[8; 4.42986457553]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.7598768519° = 153°45'32″ = 0.45879958891 rad
∠ B' = β' = 122.0643863786° = 122°3'50″ = 1.01111763328 rad
∠ C' = γ' = 84.17773676952° = 84°10'39″ = 1.67224204316 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.