# 19 21 27 triangle

### Acute scalene triangle.

Sides: a = 19   b = 21   c = 27

Area: T = 198.6643503191
Perimeter: p = 67
Semiperimeter: s = 33.5

Angle ∠ A = α = 44.4877456403° = 44°29'15″ = 0.77664525901 rad
Angle ∠ B = β = 50.76112247363° = 50°45'40″ = 0.8865950504 rad
Angle ∠ C = γ = 84.75113188607° = 84°45'5″ = 1.47991895595 rad

Height: ha = 20.91219477043
Height: hb = 18.92203336372
Height: hc = 14.71658150512

Median: ma = 22.24329764195
Median: mb = 20.8510659462
Median: mc = 14.79901994577

Inradius: r = 5.93302538266
Circumradius: R = 13.55768433897

Vertex coordinates: A[27; 0] B[0; 0] C[12.01985185185; 14.71658150512]
Centroid: CG[13.00661728395; 4.90552716837]
Coordinates of the circumscribed circle: U[13.5; 1.24401623652]
Coordinates of the inscribed circle: I[12.5; 5.93302538266]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.5132543597° = 135°30'45″ = 0.77664525901 rad
∠ B' = β' = 129.2398775264° = 129°14'20″ = 0.8865950504 rad
∠ C' = γ' = 95.24986811393° = 95°14'55″ = 1.47991895595 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.