# 15 26 27 triangle

### Acute scalene triangle.

Sides: a = 15   b = 26   c = 27

Area: T = 190.2199894847
Perimeter: p = 68
Semiperimeter: s = 34

Angle ∠ A = α = 32.81217134062° = 32°48'42″ = 0.57326724322 rad
Angle ∠ B = β = 69.92774417801° = 69°55'39″ = 1.22204640966 rad
Angle ∠ C = γ = 77.26108448137° = 77°15'39″ = 1.34884561249 rad

Height: ha = 25.36599859797
Height: hb = 14.63107611421
Height: hc = 14.08988810998

Median: ma = 25.42114476378
Median: mb = 17.55499287748
Median: mc = 16.37883393542

Inradius: r = 5.59441145543
Circumradius: R = 13.84107016582

Vertex coordinates: A[27; 0] B[0; 0] C[5.14881481481; 14.08988810998]
Centroid: CG[10.71660493827; 4.69662936999]
Coordinates of the circumscribed circle: U[13.5; 3.05220521605]
Coordinates of the inscribed circle: I[8; 5.59441145543]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.1888286594° = 147°11'18″ = 0.57326724322 rad
∠ B' = β' = 110.073255822° = 110°4'21″ = 1.22204640966 rad
∠ C' = γ' = 102.7399155186° = 102°44'21″ = 1.34884561249 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.