# 8 25 27 triangle

### Obtuse scalene triangle.

Sides: a = 8   b = 25   c = 27

Area: T = 99.49987437107
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 17.14662099989° = 17°8'46″ = 0.29992578187 rad
Angle ∠ B = β = 67.11546195238° = 67°6'53″ = 1.17113710869 rad
Angle ∠ C = γ = 95.73991704773° = 95°44'21″ = 1.6710963748 rad

Height: ha = 24.87546859277
Height: hb = 7.96598994969
Height: hc = 7.37702773119

Median: ma = 25.71099202644
Median: mb = 15.5
Median: mc = 12.73877392029

Inradius: r = 3.31766247904
Circumradius: R = 13.5688010506

Vertex coordinates: A[27; 0] B[0; 0] C[3.11111111111; 7.37702773119]
Centroid: CG[10.0377037037; 2.4576759104]
Coordinates of the circumscribed circle: U[13.5; -1.35768010506]
Coordinates of the inscribed circle: I[5; 3.31766247904]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 162.8543790001° = 162°51'14″ = 0.29992578187 rad
∠ B' = β' = 112.8855380476° = 112°53'7″ = 1.17113710869 rad
∠ C' = γ' = 84.26108295227° = 84°15'39″ = 1.6710963748 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.