# 20 24 27 triangle

### Acute scalene triangle.

Sides: a = 20   b = 24   c = 27

Area: T = 231.9220110167
Perimeter: p = 71
Semiperimeter: s = 35.5

Angle ∠ A = α = 45.70990309713° = 45°42'33″ = 0.79877730883 rad
Angle ∠ B = β = 59.22003887371° = 59°12'1″ = 1.03332417019 rad
Angle ∠ C = γ = 75.09105802916° = 75°5'26″ = 1.31105778633 rad

Height: ha = 23.19220110167
Height: hb = 19.32766758473
Height: hc = 17.17992674198

Median: ma = 23.50553185471
Median: mb = 20.50660966544
Median: mc = 17.486570845

Inradius: r = 6.53329608498
Circumradius: R = 13.97703279619

Vertex coordinates: A[27; 0] B[0; 0] C[10.24107407407; 17.17992674198]
Centroid: CG[12.41435802469; 5.72664224733]
Coordinates of the circumscribed circle: U[13.5; 3.59444489652]
Coordinates of the inscribed circle: I[11.5; 6.53329608498]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 134.2910969029° = 134°17'27″ = 0.79877730883 rad
∠ B' = β' = 120.8799611263° = 120°47'59″ = 1.03332417019 rad
∠ C' = γ' = 104.9099419708° = 104°54'34″ = 1.31105778633 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.