# 19 24 27 triangle

### Acute scalene triangle.

Sides: a = 19   b = 24   c = 27

Area: T = 221.9910990808
Perimeter: p = 70
Semiperimeter: s = 35

Angle ∠ A = α = 43.24879853748° = 43°14'53″ = 0.75548197396 rad
Angle ∠ B = β = 59.93554961114° = 59°56'8″ = 1.0466071746 rad
Angle ∠ C = γ = 76.81765185138° = 76°48'59″ = 1.3410701168 rad

Height: ha = 23.36774727167
Height: hb = 18.4999249234
Height: hc = 16.44437770969

Median: ma = 23.71218114028
Median: mb = 20.02549843945
Median: mc = 16.91989243157

Inradius: r = 6.34325997374
Circumradius: R = 13.86554275509

Vertex coordinates: A[27; 0] B[0; 0] C[9.51985185185; 16.44437770969]
Centroid: CG[12.17328395062; 5.48112590323]
Coordinates of the circumscribed circle: U[13.5; 3.16222904941]
Coordinates of the inscribed circle: I[11; 6.34325997374]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 136.7522014625° = 136°45'7″ = 0.75548197396 rad
∠ B' = β' = 120.0654503889° = 120°3'52″ = 1.0466071746 rad
∠ C' = γ' = 103.1833481486° = 103°11'1″ = 1.3410701168 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.