# 7 14 16 triangle

### Obtuse scalene triangle.

Sides: a = 7   b = 14   c = 16

Area: T = 48.92327707719
Perimeter: p = 37
Semiperimeter: s = 18.5

Angle ∠ A = α = 25.90105519005° = 25°54'2″ = 0.45220499087 rad
Angle ∠ B = β = 60.88221782058° = 60°52'56″ = 1.06325944655 rad
Angle ∠ C = γ = 93.21772698937° = 93°13'2″ = 1.62769482794 rad

Height: ha = 13.97879345063
Height: hb = 6.98989672531
Height: hc = 6.11553463465

Median: ma = 14.62201915172
Median: mb = 10.17334949747
Median: mc = 7.64985292704

Inradius: r = 2.64444740958
Circumradius: R = 8.01326287578

Vertex coordinates: A[16; 0] B[0; 0] C[3.406625; 6.11553463465]
Centroid: CG[6.469875; 2.03884487822]
Coordinates of the circumscribed circle: U[8; -0.45496883487]
Coordinates of the inscribed circle: I[4.5; 2.64444740958]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 154.0999448099° = 154°5'58″ = 0.45220499087 rad
∠ B' = β' = 119.1187821794° = 119°7'4″ = 1.06325944655 rad
∠ C' = γ' = 86.78327301063° = 86°46'58″ = 1.62769482794 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    