# 14 15 27 triangle

### Obtuse scalene triangle.

Sides: a = 14   b = 15   c = 27

Area: T = 71.38662731903
Perimeter: p = 56
Semiperimeter: s = 28

Angle ∠ A = α = 20.64218214998° = 20°38'31″ = 0.36602677488 rad
Angle ∠ B = β = 22.19216065663° = 22°11'30″ = 0.38773166009 rad
Angle ∠ C = γ = 137.1676571934° = 137°10' = 2.39440083039 rad

Height: ha = 10.19880390272
Height: hb = 9.51881697587
Height: hc = 5.28878720882

Median: ma = 20.68881608656
Median: mb = 20.15656443707
Median: mc = 5.31550729064

Inradius: r = 2.55495097568
Circumradius: R = 19.85767586827

Vertex coordinates: A[27; 0] B[0; 0] C[12.9632962963; 5.28878720882]
Centroid: CG[13.32109876543; 1.76326240294]
Coordinates of the circumscribed circle: U[13.5; -14.5621623034]
Coordinates of the inscribed circle: I[13; 2.55495097568]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 159.35881785° = 159°21'29″ = 0.36602677488 rad
∠ B' = β' = 157.8088393434° = 157°48'30″ = 0.38773166009 rad
∠ C' = γ' = 42.83334280661° = 42°50' = 2.39440083039 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.