# 4 26 27 triangle

### Obtuse scalene triangle.

Sides: a = 4   b = 26   c = 27

Area: T = 51.17106703102
Perimeter: p = 57
Semiperimeter: s = 28.5

Angle ∠ A = α = 8.38327617612° = 8°22'58″ = 0.14663067931 rad
Angle ∠ B = β = 71.37106694253° = 71°22'14″ = 1.24656531708 rad
Angle ∠ C = γ = 100.2476568814° = 100°14'48″ = 1.75496326896 rad

Height: ha = 25.58553351551
Height: hb = 3.93662054085
Height: hc = 3.7990420023

Median: ma = 26.42991505728
Median: mb = 14.26553426177
Median: mc = 12.79664838921

Inradius: r = 1.79554621161
Circumradius: R = 13.71987962507

Vertex coordinates: A[27; 0] B[0; 0] C[1.27877777778; 3.7990420023]
Centroid: CG[9.42659259259; 1.2633473341]
Coordinates of the circumscribed circle: U[13.5; -2.44403627946]
Coordinates of the inscribed circle: I[2.5; 1.79554621161]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 171.6177238239° = 171°37'2″ = 0.14663067931 rad
∠ B' = β' = 108.6299330575° = 108°37'46″ = 1.24656531708 rad
∠ C' = γ' = 79.75334311865° = 79°45'12″ = 1.75496326896 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.