# 11 27 28 triangle

### Acute scalene triangle.

Sides: a = 11   b = 27   c = 28

Area: T = 147.5880486515
Perimeter: p = 66
Semiperimeter: s = 33

Angle ∠ A = α = 22.98109198075° = 22°58'51″ = 0.40110927158 rad
Angle ∠ B = β = 73.3988450401° = 73°23'54″ = 1.28110446254 rad
Angle ∠ C = γ = 83.62106297916° = 83°37'14″ = 1.45994553125 rad

Height: ha = 26.833281573
Height: hb = 10.932188789
Height: hc = 10.54114633225

Median: ma = 26.94990259564
Median: mb = 16.43992822228
Median: mc = 15.13327459504

Inradius: r = 4.4722135955
Circumradius: R = 14.08772282582

Vertex coordinates: A[28; 0] B[0; 0] C[3.14328571429; 10.54114633225]
Centroid: CG[10.3810952381; 3.51438211075]
Coordinates of the circumscribed circle: U[14; 1.56552475842]
Coordinates of the inscribed circle: I[6; 4.4722135955]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 157.0199080193° = 157°1'9″ = 0.40110927158 rad
∠ B' = β' = 106.6021549599° = 106°36'6″ = 1.28110446254 rad
∠ C' = γ' = 96.37993702084° = 96°22'46″ = 1.45994553125 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.