# 9 16 16 triangle

### Acute isosceles triangle.

Sides: a = 9   b = 16   c = 16

Area: T = 69.09436863975
Perimeter: p = 41
Semiperimeter: s = 20.5

Angle ∠ A = α = 32.67696455614° = 32°40'11″ = 0.57701928805 rad
Angle ∠ B = β = 73.66551772193° = 73°39'55″ = 1.28656998865 rad
Angle ∠ C = γ = 73.66551772193° = 73°39'55″ = 1.28656998865 rad

Height: ha = 15.35441525328
Height: hb = 8.63767107997
Height: hc = 8.63767107997

Median: ma = 15.35441525328
Median: mb = 10.22325241501
Median: mc = 10.22325241501

Inradius: r = 3.37704237267
Circumradius: R = 8.33765069955

Vertex coordinates: A[16; 0] B[0; 0] C[2.531125; 8.63767107997]
Centroid: CG[6.17770833333; 2.87989035999]
Coordinates of the circumscribed circle: U[8; 2.34546425925]
Coordinates of the inscribed circle: I[4.5; 3.37704237267]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.3330354439° = 147°19'49″ = 0.57701928805 rad
∠ B' = β' = 106.3354822781° = 106°20'5″ = 1.28656998865 rad
∠ C' = γ' = 106.3354822781° = 106°20'5″ = 1.28656998865 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 ### 6. Inradius ### 7. Circumradius ### 8. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.