# 3 26 27 triangle

### Obtuse scalene triangle.

Sides: a = 3   b = 26   c = 27

Area: T = 37.41765738677
Perimeter: p = 56
Semiperimeter: s = 28

Angle ∠ A = α = 6.11993529541° = 6°7'10″ = 0.10768028571 rad
Angle ∠ B = β = 67.49879771918° = 67°29'53″ = 1.17880619404 rad
Angle ∠ C = γ = 106.3832669854° = 106°22'58″ = 1.8576727856 rad

Height: ha = 24.94443825785
Height: hb = 2.87881979898
Height: hc = 2.77215980643

Median: ma = 26.46222372448
Median: mb = 14.14221356237
Median: mc = 12.65989889012

Inradius: r = 1.33663062096
Circumradius: R = 14.07113043867

Vertex coordinates: A[27; 0] B[0; 0] C[1.14881481481; 2.77215980643]
Centroid: CG[9.38327160494; 0.92438660214]
Coordinates of the circumscribed circle: U[13.5; -3.96988294424]
Coordinates of the inscribed circle: I[2; 1.33663062096]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 173.8810647046° = 173°52'50″ = 0.10768028571 rad
∠ B' = β' = 112.5022022808° = 112°30'7″ = 1.17880619404 rad
∠ C' = γ' = 73.61773301459° = 73°37'2″ = 1.8576727856 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.