# 8 24 27 triangle

### Obtuse scalene triangle.

Sides: a = 8   b = 24   c = 27

Area: T = 93.38659598655
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 16.75219148957° = 16°45'7″ = 0.29223760709 rad
Angle ∠ B = β = 59.847673455° = 59°50'48″ = 1.04545225645 rad
Angle ∠ C = γ = 103.4011350554° = 103°24'5″ = 1.80546940182 rad

Height: ha = 23.34664899664
Height: hb = 7.78221633221
Height: hc = 6.91774785086

Median: ma = 25.22989516231
Median: mb = 15.89902485821
Median: mc = 11.73766945943

Inradius: r = 3.16656257582
Circumradius: R = 13.87878891588

Vertex coordinates: A[27; 0] B[0; 0] C[4.01985185185; 6.91774785086]
Centroid: CG[10.34395061728; 2.30658261695]
Coordinates of the circumscribed circle: U[13.5; -3.21664899352]
Coordinates of the inscribed circle: I[5.5; 3.16656257582]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 163.2488085104° = 163°14'53″ = 0.29223760709 rad
∠ B' = β' = 120.153326545° = 120°9'12″ = 1.04545225645 rad
∠ C' = γ' = 76.59986494456° = 76°35'55″ = 1.80546940182 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.