# 16 16 17 triangle

### Acute isosceles triangle.

Sides: a = 16   b = 16   c = 17

Area: T = 115.221125455
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 57.91100487437° = 57°54'36″ = 1.01107210206 rad
Angle ∠ B = β = 57.91100487437° = 57°54'36″ = 1.01107210206 rad
Angle ∠ C = γ = 64.18799025126° = 64°10'48″ = 1.12201506125 rad

Height: ha = 14.40326568187
Height: hb = 14.40326568187
Height: hc = 13.55554417117

Median: ma = 14.44395290782
Median: mb = 14.44395290782
Median: mc = 13.55554417117

Inradius: r = 4.7032908349
Circumradius: R = 9.44327022536

Vertex coordinates: A[17; 0] B[0; 0] C[8.5; 13.55554417117]
Centroid: CG[8.5; 4.51884805706]
Coordinates of the circumscribed circle: U[8.5; 4.11327394581]
Coordinates of the inscribed circle: I[8.5; 4.7032908349]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 122.0989951256° = 122°5'24″ = 1.01107210206 rad
∠ B' = β' = 122.0989951256° = 122°5'24″ = 1.01107210206 rad
∠ C' = γ' = 115.8220097487° = 115°49'12″ = 1.12201506125 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.