# 9 11 14 triangle

### Acute scalene triangle.

Sides: a = 9   b = 11   c = 14

Area: T = 49.47772675074
Perimeter: p = 34
Semiperimeter: s = 17

Angle ∠ A = α = 39.98331214543° = 39°58'59″ = 0.69878371146 rad
Angle ∠ B = β = 51.75333801217° = 51°45'12″ = 0.90332668822 rad
Angle ∠ C = γ = 88.26334984241° = 88°15'49″ = 1.54404886568 rad

Height: ha = 10.9954948335
Height: hb = 8.99658668195
Height: hc = 7.06881810725

Median: ma = 11.75879760163
Median: mb = 10.40443260233
Median: mc = 7.21111025509

Inradius: r = 2.91104275004
Circumradius: R = 7.00332161729

Vertex coordinates: A[14; 0] B[0; 0] C[5.57114285714; 7.06881810725]
Centroid: CG[6.52438095238; 2.35660603575]
Coordinates of the circumscribed circle: U[7; 0.21222186719]
Coordinates of the inscribed circle: I[6; 2.91104275004]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 140.0176878546° = 140°1'1″ = 0.69878371146 rad
∠ B' = β' = 128.2476619878° = 128°14'48″ = 0.90332668822 rad
∠ C' = γ' = 91.73765015759° = 91°44'11″ = 1.54404886568 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    