# 13 16 27 triangle

### Obtuse scalene triangle.

Sides: a = 13   b = 16   c = 27

Area: T = 70.99329573972
Perimeter: p = 56
Semiperimeter: s = 28

Angle ∠ A = α = 19.18881364537° = 19°11'17″ = 0.33548961584 rad
Angle ∠ B = β = 23.86109433465° = 23°51'39″ = 0.4166452024 rad
Angle ∠ C = γ = 136.95109202° = 136°57'3″ = 2.39902444711 rad

Height: ha = 10.92219934457
Height: hb = 8.87441196746
Height: hc = 5.2598737585

Median: ma = 21.21990951739
Median: mb = 19.62114168703
Median: mc = 5.5

Inradius: r = 2.53554627642
Circumradius: R = 19.77766095606

Vertex coordinates: A[27; 0] B[0; 0] C[11.88988888889; 5.2598737585]
Centroid: CG[12.9632962963; 1.75329125283]
Coordinates of the circumscribed circle: U[13.5; -14.45221377559]
Coordinates of the inscribed circle: I[12; 2.53554627642]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 160.8121863546° = 160°48'43″ = 0.33548961584 rad
∠ B' = β' = 156.1399056653° = 156°8'21″ = 0.4166452024 rad
∠ C' = γ' = 43.04990798002° = 43°2'57″ = 2.39902444711 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.