# 12 17 27 triangle

### Obtuse scalene triangle.

Sides: a = 12   b = 17   c = 27

Area: T = 70.21997150991
Perimeter: p = 56
Semiperimeter: s = 28

Angle ∠ A = α = 17.81111815332° = 17°48'40″ = 0.31108637614 rad
Angle ∠ B = β = 25.67991768138° = 25°40'45″ = 0.44881861846 rad
Angle ∠ C = γ = 136.5109641653° = 136°30'35″ = 2.38325427076 rad

Height: ha = 11.76999525165
Height: hb = 8.25987900117
Height: hc = 5.21999788962

Median: ma = 21.74985631709
Median: mb = 19.0855334684
Median: mc = 5.85223499554

Inradius: r = 2.50771326821
Circumradius: R = 19.61554642231

Vertex coordinates: A[27; 0] B[0; 0] C[10.81548148148; 5.21999788962]
Centroid: CG[12.60549382716; 1.73333262987]
Coordinates of the circumscribed circle: U[13.5; -14.23108269854]
Coordinates of the inscribed circle: I[11; 2.50771326821]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 162.1898818467° = 162°11'20″ = 0.31108637614 rad
∠ B' = β' = 154.3210823186° = 154°19'15″ = 0.44881861846 rad
∠ C' = γ' = 43.4990358347° = 43°29'25″ = 2.38325427076 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.