# 9 17 17 triangle

### Acute isosceles triangle.

Sides: a = 9   b = 17   c = 17

Area: T = 73.77111833984
Perimeter: p = 43
Semiperimeter: s = 21.5

Angle ∠ A = α = 30.6998954034° = 30°41'56″ = 0.53657978248 rad
Angle ∠ B = β = 74.6510522983° = 74°39'2″ = 1.30328974144 rad
Angle ∠ C = γ = 74.6510522983° = 74°39'2″ = 1.30328974144 rad

Height: ha = 16.39435963108
Height: hb = 8.67989627528
Height: hc = 8.67989627528

Median: ma = 16.39435963108
Median: mb = 10.61883802908
Median: mc = 10.61883802908

Inradius: r = 3.43112178325
Circumradius: R = 8.81444173652

Vertex coordinates: A[17; 0] B[0; 0] C[2.38223529412; 8.67989627528]
Centroid: CG[6.46107843137; 2.89329875843]
Coordinates of the circumscribed circle: U[8.5; 2.33332281261]
Coordinates of the inscribed circle: I[4.5; 3.43112178325]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 149.3011045966° = 149°18'4″ = 0.53657978248 rad
∠ B' = β' = 105.3499477017° = 105°20'58″ = 1.30328974144 rad
∠ C' = γ' = 105.3499477017° = 105°20'58″ = 1.30328974144 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.