# 3 5 6 triangle

### Obtuse scalene triangle.

Sides: a = 3   b = 5   c = 6

Area: T = 7.48333147735
Perimeter: p = 14
Semiperimeter: s = 7

Angle ∠ A = α = 29.92664348666° = 29°55'35″ = 0.52223148218 rad
Angle ∠ B = β = 56.25110114041° = 56°15'4″ = 0.98217653566 rad
Angle ∠ C = γ = 93.82325537293° = 93°49'21″ = 1.63875124752 rad

Height: ha = 4.98988765157
Height: hb = 2.99333259094
Height: hc = 2.49444382578

Median: ma = 5.31550729064
Median: mb = 4.03111288741
Median: mc = 2.82884271247

Inradius: r = 1.06990449676
Circumradius: R = 3.00766889715

Vertex coordinates: A[6; 0] B[0; 0] C[1.66766666667; 2.49444382578]
Centroid: CG[2.55655555556; 0.83114794193]
Coordinates of the circumscribed circle: U[3; -0.22004459314]
Coordinates of the inscribed circle: I[2; 1.06990449676]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.0743565133° = 150°4'25″ = 0.52223148218 rad
∠ B' = β' = 123.7498988596° = 123°44'56″ = 0.98217653566 rad
∠ C' = γ' = 86.17774462707° = 86°10'39″ = 1.63875124752 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    