# 14 16 27 triangle

### Obtuse scalene triangle.

Sides: a = 14   b = 16   c = 27

Area: T = 88.02552094573
Perimeter: p = 57
Semiperimeter: s = 28.5

Angle ∠ A = α = 24.04993983611° = 24°2'58″ = 0.42197411845 rad
Angle ∠ B = β = 27.75882438109° = 27°45'30″ = 0.48444727491 rad
Angle ∠ C = γ = 128.1922357828° = 128°11'32″ = 2.237737872 rad

Height: ha = 12.57550299225
Height: hb = 11.00331511822
Height: hc = 6.52203858857

Median: ma = 21.05994396887
Median: mb = 19.96224647777
Median: mc = 6.61443782777

Inradius: r = 3.08986038406
Circumradius: R = 17.1776897497

Vertex coordinates: A[27; 0] B[0; 0] C[12.38988888889; 6.52203858857]
Centroid: CG[13.13296296296; 2.17334619619]
Coordinates of the circumscribed circle: U[13.5; -10.62105370685]
Coordinates of the inscribed circle: I[12.5; 3.08986038406]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.9510601639° = 155°57'2″ = 0.42197411845 rad
∠ B' = β' = 152.2421756189° = 152°14'30″ = 0.48444727491 rad
∠ C' = γ' = 51.8087642172° = 51°48'28″ = 2.237737872 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.