# 10 20 23 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 20   c = 23

Area: T = 99.73768412373
Perimeter: p = 53
Semiperimeter: s = 26.5

Angle ∠ A = α = 25.69986873132° = 25°41'55″ = 0.44985267071 rad
Angle ∠ B = β = 60.14437210096° = 60°8'37″ = 1.0549705956 rad
Angle ∠ C = γ = 94.15875916772° = 94°9'27″ = 1.64333599905 rad

Height: ha = 19.94773682475
Height: hb = 9.97436841237
Height: hc = 8.67327688032

Median: ma = 20.96442552932
Median: mb = 14.64658185159
Median: mc = 10.85112672071

Inradius: r = 3.76436543863
Circumradius: R = 11.53303431083

Vertex coordinates: A[23; 0] B[0; 0] C[4.97882608696; 8.67327688032]
Centroid: CG[9.32660869565; 2.89109229344]
Coordinates of the circumscribed circle: U[11.5; -0.83659498753]
Coordinates of the inscribed circle: I[6.5; 3.76436543863]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 154.3011312687° = 154°18'5″ = 0.44985267071 rad
∠ B' = β' = 119.856627899° = 119°51'23″ = 1.0549705956 rad
∠ C' = γ' = 85.84224083228° = 85°50'33″ = 1.64333599905 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.