# 7 12 14 triangle

### Obtuse scalene triangle.

Sides: a = 7   b = 12   c = 14

Area: T = 41.99333030375
Perimeter: p = 33
Semiperimeter: s = 16.5

Angle ∠ A = α = 29.99547255274° = 29°59'41″ = 0.52435067187 rad
Angle ∠ B = β = 58.98220811689° = 58°58'55″ = 1.02994315161 rad
Angle ∠ C = γ = 91.02331933037° = 91°1'23″ = 1.58986544188 rad

Height: ha = 11.99880865821
Height: hb = 6.99988838396
Height: hc = 5.99990432911

Median: ma = 12.56598566871
Median: mb = 9.30105376189
Median: mc = 6.8922024376

Inradius: r = 2.54550486689
Circumradius: R = 7.00111163384

Vertex coordinates: A[14; 0] B[0; 0] C[3.60771428571; 5.99990432911]
Centroid: CG[5.8699047619; 21.999681097]
Coordinates of the circumscribed circle: U[7; -0.12550199346]
Coordinates of the inscribed circle: I[4.5; 2.54550486689]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.0055274473° = 150°19″ = 0.52435067187 rad
∠ B' = β' = 121.0187918831° = 121°1'5″ = 1.02994315161 rad
∠ C' = γ' = 88.97768066963° = 88°58'37″ = 1.58986544188 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    