# 5 6 8 triangle

### Obtuse scalene triangle.

Sides: a = 5   b = 6   c = 8

Area: T = 14.98112382666
Perimeter: p = 19
Semiperimeter: s = 9.5

Angle ∠ A = α = 38.62548328731° = 38°37'29″ = 0.67441305067 rad
Angle ∠ B = β = 48.50991831443° = 48°30'33″ = 0.84766449633 rad
Angle ∠ C = γ = 92.86659839826° = 92°51'58″ = 1.62108171836 rad

Height: ha = 5.99224953066
Height: hb = 4.99437460889
Height: hc = 3.74553095666

Median: ma = 6.61443782777
Median: mb = 5.95881876439
Median: mc = 3.80878865529

Inradius: r = 1.57769724491
Circumradius: R = 4.00550093946

Vertex coordinates: A[8; 0] B[0; 0] C[3.31325; 3.74553095666]
Centroid: CG[3.77108333333; 1.24884365222]
Coordinates of the circumscribed circle: U[4; -0.22002504697]
Coordinates of the inscribed circle: I[3.5; 1.57769724491]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.3755167127° = 141°22'31″ = 0.67441305067 rad
∠ B' = β' = 131.4910816856° = 131°29'27″ = 0.84766449633 rad
∠ C' = γ' = 87.13440160174° = 87°8'2″ = 1.62108171836 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.