# 5 8 11 triangle

### Obtuse scalene triangle.

Sides: a = 5   b = 8   c = 11

Area: T = 18.33303027798
Perimeter: p = 24
Semiperimeter: s = 12

Angle ∠ A = α = 24.62199773287° = 24°37'12″ = 0.43296996662 rad
Angle ∠ B = β = 41.80218441931° = 41°48'7″ = 0.73295798146 rad
Angle ∠ C = γ = 113.5788178478° = 113°34'41″ = 1.98223131729 rad

Height: ha = 7.33221211119
Height: hb = 4.5832575695
Height: hc = 3.33327823236

Median: ma = 9.28770878105
Median: mb = 7.55498344353
Median: mc = 3.77549172176

Inradius: r = 1.52875252317
Circumradius: R = 6.00109919815

Vertex coordinates: A[11; 0] B[0; 0] C[3.72772727273; 3.33327823236]
Centroid: CG[4.90990909091; 1.11109274412]
Coordinates of the circumscribed circle: U[5.5; -2.44003967926]
Coordinates of the inscribed circle: I[4; 1.52875252317]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.3880022671° = 155°22'48″ = 0.43296996662 rad
∠ B' = β' = 138.1988155807° = 138°11'53″ = 0.73295798146 rad
∠ C' = γ' = 66.42218215218° = 66°25'19″ = 1.98223131729 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.