# 8 17 17 triangle

### Acute isosceles triangle.

Sides: a = 8   b = 17   c = 17

Area: T = 66.09108465674
Perimeter: p = 42
Semiperimeter: s = 21

Angle ∠ A = α = 27.21879212616° = 27°13'5″ = 0.47550423416 rad
Angle ∠ B = β = 76.39110393692° = 76°23'28″ = 1.3333275156 rad
Angle ∠ C = γ = 76.39110393692° = 76°23'28″ = 1.3333275156 rad

Height: ha = 16.52327116419
Height: hb = 7.77553937138
Height: hc = 7.77553937138

Median: ma = 16.52327116419
Median: mb = 10.21102889283
Median: mc = 10.21102889283

Inradius: r = 3.14771831699
Circumradius: R = 8.74655378471

Vertex coordinates: A[17; 0] B[0; 0] C[1.88223529412; 7.77553937138]
Centroid: CG[6.29441176471; 2.59217979046]
Coordinates of the circumscribed circle: U[8.5; 2.05877736111]
Coordinates of the inscribed circle: I[4; 3.14771831699]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.7822078738° = 152°46'55″ = 0.47550423416 rad
∠ B' = β' = 103.6098960631° = 103°36'32″ = 1.3333275156 rad
∠ C' = γ' = 103.6098960631° = 103°36'32″ = 1.3333275156 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.