# 5 24 27 triangle

### Obtuse scalene triangle.

Sides: a = 5   b = 24   c = 27

Area: T = 50.75443101618
Perimeter: p = 56
Semiperimeter: s = 28

Angle ∠ A = α = 9.01224514993° = 9°45″ = 0.15772969523 rad
Angle ∠ B = β = 48.75765958652° = 48°45'24″ = 0.85109631299 rad
Angle ∠ C = γ = 122.2310952636° = 122°13'51″ = 2.13333325713 rad

Height: ha = 20.30217240647
Height: hb = 4.23295258468
Height: hc = 3.76595785305

Median: ma = 25.42114476378
Median: mb = 15.26443375225
Median: mc = 10.87442815855

Inradius: r = 1.81326539343
Circumradius: R = 15.95992357263

Vertex coordinates: A[27; 0] B[0; 0] C[3.29662962963; 3.76595785305]
Centroid: CG[10.09987654321; 1.25331928435]
Coordinates of the circumscribed circle: U[13.5; -8.51215923874]
Coordinates of the inscribed circle: I[4; 1.81326539343]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 170.9887548501° = 170°59'15″ = 0.15772969523 rad
∠ B' = β' = 131.2433404135° = 131°14'36″ = 0.85109631299 rad
∠ C' = γ' = 57.76990473645° = 57°46'9″ = 2.13333325713 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.