# 9 14 16 triangle

### Acute scalene triangle.

Sides: a = 9   b = 14   c = 16

Area: T = 62.78108689013
Perimeter: p = 39
Semiperimeter: s = 19.5

Angle ∠ A = α = 34.09333908114° = 34°5'36″ = 0.59550419228 rad
Angle ∠ B = β = 60.68768010358° = 60°41'12″ = 1.05991844906 rad
Angle ∠ C = γ = 85.22198081528° = 85°13'11″ = 1.48773662402 rad

Height: ha = 13.95113042003
Height: hb = 8.96986955573
Height: hc = 7.84876086127

Median: ma = 14.34439882878
Median: mb = 10.93216055545
Median: mc = 8.63113382508

Inradius: r = 3.22195317385
Circumradius: R = 8.02879232961

Vertex coordinates: A[16; 0] B[0; 0] C[4.406625; 7.84876086127]
Centroid: CG[6.80220833333; 2.61658695376]
Coordinates of the circumscribed circle: U[8; 0.6698993608]
Coordinates of the inscribed circle: I[5.5; 3.22195317385]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145.9076609189° = 145°54'24″ = 0.59550419228 rad
∠ B' = β' = 119.3133198964° = 119°18'48″ = 1.05991844906 rad
∠ C' = γ' = 94.78801918472° = 94°46'49″ = 1.48773662402 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    