# 3 16 16 triangle

### Acute isosceles triangle.

Sides: a = 3   b = 16   c = 16

Area: T = 23.89442984831
Perimeter: p = 35
Semiperimeter: s = 17.5

Angle ∠ A = α = 10.75987579822° = 10°45'32″ = 0.18877757502 rad
Angle ∠ B = β = 84.62106210089° = 84°37'14″ = 1.47769084517 rad
Angle ∠ C = γ = 84.62106210089° = 84°37'14″ = 1.47769084517 rad

Height: ha = 15.93295323221
Height: hb = 2.98767873104
Height: hc = 2.98767873104

Median: ma = 15.93295323221
Median: mb = 8.27664726786
Median: mc = 8.27664726786

Inradius: r = 1.36553884847
Circumradius: R = 8.03553897034

Vertex coordinates: A[16; 0] B[0; 0] C[0.281125; 2.98767873104]
Centroid: CG[5.42770833333; 0.99655957701]
Coordinates of the circumscribed circle: U[8; 0.75333177847]
Coordinates of the inscribed circle: I[1.5; 1.36553884847]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 169.2411242018° = 169°14'28″ = 0.18877757502 rad
∠ B' = β' = 95.37993789911° = 95°22'46″ = 1.47769084517 rad
∠ C' = γ' = 95.37993789911° = 95°22'46″ = 1.47769084517 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    