# 12 17 17 triangle

### Acute isosceles triangle.

Sides: a = 12   b = 17   c = 17

Area: T = 95.43658423235
Perimeter: p = 46
Semiperimeter: s = 23

Angle ∠ A = α = 41.3354632987° = 41°20'5″ = 0.72114254407 rad
Angle ∠ B = β = 69.33326835065° = 69°19'58″ = 1.21100836064 rad
Angle ∠ C = γ = 69.33326835065° = 69°19'58″ = 1.21100836064 rad

Height: ha = 15.90659737206
Height: hb = 11.22877461557
Height: hc = 11.22877461557

Median: ma = 15.90659737206
Median: mb = 12.01104121495
Median: mc = 12.01104121495

Inradius: r = 4.14993844488
Circumradius: R = 9.08546371645

Vertex coordinates: A[17; 0] B[0; 0] C[4.23552941176; 11.22877461557]
Centroid: CG[7.07884313725; 3.74325820519]
Coordinates of the circumscribed circle: U[8.5; 3.20663425287]
Coordinates of the inscribed circle: I[6; 4.14993844488]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.6655367013° = 138°39'55″ = 0.72114254407 rad
∠ B' = β' = 110.6677316494° = 110°40'2″ = 1.21100836064 rad
∠ C' = γ' = 110.6677316494° = 110°40'2″ = 1.21100836064 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.