# 12 16 27 triangle

### Obtuse scalene triangle.

Sides: a = 12   b = 16   c = 27

Area: T = 49.50769439574
Perimeter: p = 55
Semiperimeter: s = 27.5

Angle ∠ A = α = 13.25499072144° = 13°15' = 0.23112545065 rad
Angle ∠ B = β = 17.79441698701° = 17°47'39″ = 0.31105668519 rad
Angle ∠ C = γ = 148.9565922916° = 148°57'21″ = 2.65997712952 rad

Height: ha = 8.25111573262
Height: hb = 6.18883679947
Height: hc = 3.66771810339

Median: ma = 21.36658606192
Median: mb = 19.33002590656
Median: mc = 4.21330748866

Inradius: r = 1.88002525075
Circumradius: R = 26.178814586

Vertex coordinates: A[27; 0] B[0; 0] C[11.42659259259; 3.66771810339]
Centroid: CG[12.80986419753; 1.2222393678]
Coordinates of the circumscribed circle: U[13.5; -22.42986718436]
Coordinates of the inscribed circle: I[11.5; 1.88002525075]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 166.7550092786° = 166°45' = 0.23112545065 rad
∠ B' = β' = 162.206583013° = 162°12'21″ = 0.31105668519 rad
∠ C' = γ' = 31.04440770845° = 31°2'39″ = 2.65997712952 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.