# 11 17 20 triangle

### Acute scalene triangle.

Sides: a = 11   b = 17   c = 20

Area: T = 93.46765715644
Perimeter: p = 48
Semiperimeter: s = 24

Angle ∠ A = α = 33.35435238375° = 33°21'13″ = 0.58221288081 rad
Angle ∠ B = β = 58.17986314749° = 58°10'43″ = 1.01554086735 rad
Angle ∠ C = γ = 88.46878446876° = 88°28'4″ = 1.54440551719 rad

Height: ha = 16.99439221026
Height: hb = 10.99660672429
Height: hc = 9.34766571564

Median: ma = 17.72770979012
Median: mb = 13.7220422734
Median: mc = 10.2476950766

Inradius: r = 3.89444404818
Circumradius: R = 10.00435765124

Vertex coordinates: A[20; 0] B[0; 0] C[5.8; 9.34766571564]
Centroid: CG[8.6; 3.11655523855]
Coordinates of the circumscribed circle: U[10; 0.26774753078]
Coordinates of the inscribed circle: I[7; 3.89444404818]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.6466476163° = 146°38'47″ = 0.58221288081 rad
∠ B' = β' = 121.8211368525° = 121°49'17″ = 1.01554086735 rad
∠ C' = γ' = 91.53221553124° = 91°31'56″ = 1.54440551719 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.