# 8 23 27 triangle

### Obtuse scalene triangle.

Sides: a = 8   b = 23   c = 27

Area: T = 85.48768410927
Perimeter: p = 58
Semiperimeter: s = 29

Angle ∠ A = α = 15.98110813462° = 15°58'52″ = 0.27989224875 rad
Angle ∠ B = β = 52.33301130357° = 52°19'48″ = 0.91333327704 rad
Angle ∠ C = γ = 111.6898805618° = 111°41'20″ = 1.94993373957 rad

Height: ha = 21.37217102732
Height: hb = 7.43436383559
Height: hc = 6.33223585995

Median: ma = 24.75988368063
Median: mb = 16.2565768207
Median: mc = 10.68987791632

Inradius: r = 2.94878221066
Circumradius: R = 14.52985518113

Vertex coordinates: A[27; 0] B[0; 0] C[4.88988888889; 6.33223585995]
Centroid: CG[10.63296296296; 2.11107861998]
Coordinates of the circumscribed circle: U[13.5; -5.36992474085]
Coordinates of the inscribed circle: I[6; 2.94878221066]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 164.0198918654° = 164°1'8″ = 0.27989224875 rad
∠ B' = β' = 127.6769886964° = 127°40'12″ = 0.91333327704 rad
∠ C' = γ' = 68.31111943819° = 68°18'40″ = 1.94993373957 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.