# 11 27 30 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 27   c = 30

Area: T = 147.9732970505
Perimeter: p = 68
Semiperimeter: s = 34

Angle ∠ A = α = 21.43300692627° = 21°25'48″ = 0.37440252676 rad
Angle ∠ B = β = 63.7411340066° = 63°44'29″ = 1.11224962538 rad
Angle ∠ C = γ = 94.82985906713° = 94°49'43″ = 1.65550711322 rad

Height: ha = 26.90441764554
Height: hb = 10.96109607781
Height: hc = 9.86548647003

Median: ma = 28.00444639299
Median: mb = 18.1187670932
Median: mc = 14.14221356237

Inradius: r = 4.35221461913
Circumradius: R = 15.05334249086

Vertex coordinates: A[30; 0] B[0; 0] C[4.86766666667; 9.86548647003]
Centroid: CG[11.62222222222; 3.28882882334]
Coordinates of the circumscribed circle: U[15; -1.26771233088]
Coordinates of the inscribed circle: I[7; 4.35221461913]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 158.5769930737° = 158°34'12″ = 0.37440252676 rad
∠ B' = β' = 116.2598659934° = 116°15'31″ = 1.11224962538 rad
∠ C' = γ' = 85.17114093287° = 85°10'17″ = 1.65550711322 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.