# 7 11 14 triangle

### Obtuse scalene triangle.

Sides: a = 7   b = 11   c = 14

Area: T = 37.9477331922
Perimeter: p = 32
Semiperimeter: s = 16

Angle ∠ A = α = 29.52662652473° = 29°31'35″ = 0.51553305444 rad
Angle ∠ B = β = 50.75438670503° = 50°45'14″ = 0.88658220881 rad
Angle ∠ C = γ = 99.72198677024° = 99°43'12″ = 1.74404400211 rad

Height: ha = 10.84220948349
Height: hb = 6.98995148949
Height: hc = 5.42110474174

Median: ma = 12.09333866224
Median: mb = 9.60546863561
Median: mc = 6

Inradius: r = 2.37217082451
Circumradius: R = 7.10219485785

Vertex coordinates: A[14; 0] B[0; 0] C[4.42985714286; 5.42110474174]
Centroid: CG[6.14328571429; 1.80770158058]
Coordinates of the circumscribed circle: U[7; -1.19990302795]
Coordinates of the inscribed circle: I[5; 2.37217082451]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.4743734753° = 150°28'25″ = 0.51553305444 rad
∠ B' = β' = 129.246613295° = 129°14'46″ = 0.88658220881 rad
∠ C' = γ' = 80.28801322976° = 80°16'48″ = 1.74404400211 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    