# 6 17 17 triangle

### Acute isosceles triangle.

Sides: a = 6   b = 17   c = 17

Area: T = 50.2199601592
Perimeter: p = 40
Semiperimeter: s = 20

Angle ∠ A = α = 20.32884972434° = 20°19'43″ = 0.35547992089 rad
Angle ∠ B = β = 79.83657513783° = 79°50'9″ = 1.39333967224 rad
Angle ∠ C = γ = 79.83657513783° = 79°50'9″ = 1.39333967224 rad

Height: ha = 16.73332005307
Height: hb = 5.90658354814
Height: hc = 5.90658354814

Median: ma = 16.73332005307
Median: mb = 9.5
Median: mc = 9.5

Inradius: r = 2.51099800796
Circumradius: R = 8.63655267024

Vertex coordinates: A[17; 0] B[0; 0] C[1.05988235294; 5.90658354814]
Centroid: CG[6.02196078431; 1.96986118271]
Coordinates of the circumscribed circle: U[8.5; 1.52439164769]
Coordinates of the inscribed circle: I[3; 2.51099800796]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 159.6721502757° = 159°40'17″ = 0.35547992089 rad
∠ B' = β' = 100.1644248622° = 100°9'51″ = 1.39333967224 rad
∠ C' = γ' = 100.1644248622° = 100°9'51″ = 1.39333967224 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.