# 12 24 27 triangle

### Obtuse scalene triangle.

Sides: a = 12   b = 24   c = 27

Area: T = 143.9822420802
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 26.38443297494° = 26°23'4″ = 0.46604934251 rad
Angle ∠ B = β = 62.7220387264° = 62°43'13″ = 1.09546772659 rad
Angle ∠ C = γ = 90.89552829866° = 90°53'43″ = 1.58664219626 rad

Height: ha = 23.99770701337
Height: hb = 11.99985350668
Height: hc = 10.66553645039

Median: ma = 24.82994180359
Median: mb = 17.10326313765
Median: mc = 13.3322291626

Inradius: r = 4.57108705017
Circumradius: R = 13.5021648251

Vertex coordinates: A[27; 0] B[0; 0] C[5.5; 10.66553645039]
Centroid: CG[10.83333333333; 3.55551215013]
Coordinates of the circumscribed circle: U[13.5; -0.21109632539]
Coordinates of the inscribed circle: I[7.5; 4.57108705017]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.6165670251° = 153°36'56″ = 0.46604934251 rad
∠ B' = β' = 117.2879612736° = 117°16'47″ = 1.09546772659 rad
∠ C' = γ' = 89.10547170134° = 89°6'17″ = 1.58664219626 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.