# 6 21 23 triangle

### Obtuse scalene triangle.

Sides: a = 6   b = 21   c = 23

Area: T = 61.64441400297
Perimeter: p = 50
Semiperimeter: s = 25

Angle ∠ A = α = 14.78987097356° = 14°47'19″ = 0.2588111677 rad
Angle ∠ B = β = 63.30327985505° = 63°18'10″ = 1.10548422604 rad
Angle ∠ C = γ = 101.9088491714° = 101°54'31″ = 1.77986387161 rad

Height: ha = 20.54880466766
Height: hb = 5.8710870479
Height: hc = 5.36603600026

Median: ma = 21.81774242293
Median: mb = 13.12444047484
Median: mc = 10.3087764064

Inradius: r = 2.46657656012
Circumradius: R = 11.75329419609

Vertex coordinates: A[23; 0] B[0; 0] C[2.69656521739; 5.36603600026]
Centroid: CG[8.56552173913; 1.78767866675]
Coordinates of the circumscribed circle: U[11.5; -2.42552102459]
Coordinates of the inscribed circle: I[4; 2.46657656012]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 165.2111290264° = 165°12'41″ = 0.2588111677 rad
∠ B' = β' = 116.6977201449° = 116°41'50″ = 1.10548422604 rad
∠ C' = γ' = 78.09215082861° = 78°5'29″ = 1.77986387161 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.