# 6 10 11 triangle

### Acute scalene triangle.

Sides: a = 6   b = 10   c = 11

Area: T = 29.76547022495
Perimeter: p = 27
Semiperimeter: s = 13.5

Angle ∠ A = α = 32.76437577589° = 32°45'50″ = 0.57218354482 rad
Angle ∠ B = β = 64.41769980226° = 64°25'1″ = 1.12442887097 rad
Angle ∠ C = γ = 82.81992442185° = 82°49'9″ = 1.44554684956 rad

Height: ha = 9.92215674165
Height: hb = 5.95329404499
Height: hc = 5.41217640454

Median: ma = 10.07547208398
Median: mb = 7.31443694192
Median: mc = 6.14441028637

Inradius: r = 2.20547927592
Circumradius: R = 5.54334789375

Vertex coordinates: A[11; 0] B[0; 0] C[2.59109090909; 5.41217640454]
Centroid: CG[4.53303030303; 1.80439213485]
Coordinates of the circumscribed circle: U[5.5; 0.69329348672]
Coordinates of the inscribed circle: I[3.5; 2.20547927592]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.2366242241° = 147°14'10″ = 0.57218354482 rad
∠ B' = β' = 115.5833001977° = 115°34'59″ = 1.12442887097 rad
∠ C' = γ' = 97.18107557815° = 97°10'51″ = 1.44554684956 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.