# 16 18 27 triangle

### Obtuse scalene triangle.

Sides: a = 16   b = 18   c = 27

Area: T = 139.0998661029
Perimeter: p = 61
Semiperimeter: s = 30.5

Angle ∠ A = α = 34.91993255344° = 34°55'10″ = 0.60994572032 rad
Angle ∠ B = β = 40.08988890862° = 40°5'20″ = 0.7699683108 rad
Angle ∠ C = γ = 104.9921785379° = 104°59'30″ = 1.83224523424 rad

Height: ha = 17.38773326286
Height: hb = 15.4555406781
Height: hc = 10.30436045207

Median: ma = 21.50658131676
Median: mb = 20.28554627751
Median: mc = 10.3880269746

Inradius: r = 4.5610611837
Circumradius: R = 13.97656916826

Vertex coordinates: A[27; 0] B[0; 0] C[12.24107407407; 10.30436045207]
Centroid: CG[13.08802469136; 3.43545348402]
Coordinates of the circumscribed circle: U[13.5; -3.61552396887]
Coordinates of the inscribed circle: I[12.5; 4.5610611837]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145.0810674466° = 145°4'50″ = 0.60994572032 rad
∠ B' = β' = 139.9111110914° = 139°54'40″ = 0.7699683108 rad
∠ C' = γ' = 75.00882146206° = 75°30″ = 1.83224523424 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.