# 17 20 23 triangle

### Acute scalene triangle.

Sides: a = 17   b = 20   c = 23

Area: T = 165.2277116419
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 45.92107901521° = 45°55'15″ = 0.80114689833 rad
Angle ∠ B = β = 57.68881704787° = 57°41'17″ = 1.00768485143 rad
Angle ∠ C = γ = 76.39110393692° = 76°23'28″ = 1.3333275156 rad

Height: ha = 19.43884842845
Height: hb = 16.52327116419
Height: hc = 14.36875753407

Median: ma = 19.80553023203
Median: mb = 17.57883958312
Median: mc = 14.56988022843

Inradius: r = 5.50875705473
Circumradius: R = 11.83221982637

Vertex coordinates: A[23; 0] B[0; 0] C[9.08769565217; 14.36875753407]
Centroid: CG[10.69656521739; 4.78991917802]
Coordinates of the circumscribed circle: U[11.5; 2.78440466503]
Coordinates of the inscribed circle: I[10; 5.50875705473]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 134.0799209848° = 134°4'45″ = 0.80114689833 rad
∠ B' = β' = 122.3121829521° = 122°18'43″ = 1.00768485143 rad
∠ C' = γ' = 103.6098960631° = 103°36'32″ = 1.3333275156 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.