# 11 23 27 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 23   c = 27

Area: T = 124.9498739489
Perimeter: p = 61
Semiperimeter: s = 30.5

Angle ∠ A = α = 23.72990134991° = 23°43'44″ = 0.41441494138 rad
Angle ∠ B = β = 57.28988521372° = 57°17'20″ = 10.9998790945 rad
Angle ∠ C = γ = 98.98221343637° = 98°58'56″ = 1.72875641453 rad

Height: ha = 22.71879526344
Height: hb = 10.86551077817
Height: hc = 9.25554621844

Median: ma = 24.46993686065
Median: mb = 17.11099386323
Median: mc = 11.94878031453

Inradius: r = 4.09766799833
Circumradius: R = 13.66876048672

Vertex coordinates: A[27; 0] B[0; 0] C[5.94444444444; 9.25554621844]
Centroid: CG[10.98114814815; 3.08551540615]
Coordinates of the circumscribed circle: U[13.5; -2.13438750682]
Coordinates of the inscribed circle: I[7.5; 4.09766799833]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.2710986501° = 156°16'16″ = 0.41441494138 rad
∠ B' = β' = 122.7111147863° = 122°42'40″ = 10.9998790945 rad
∠ C' = γ' = 81.01878656363° = 81°1'4″ = 1.72875641453 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.