# 16 17 17 triangle

### Acute isosceles triangle.

Sides: a = 16   b = 17   c = 17

Area: T = 120
Perimeter: p = 50
Semiperimeter: s = 25

Angle ∠ A = α = 56.14549738717° = 56°8'42″ = 0.98799146525 rad
Angle ∠ B = β = 61.92875130641° = 61°55'39″ = 1.08108390005 rad
Angle ∠ C = γ = 61.92875130641° = 61°55'39″ = 1.08108390005 rad

Height: ha = 15
Height: hb = 14.11876470588
Height: hc = 14.11876470588

Median: ma = 15
Median: mb = 14.15109716981
Median: mc = 14.15109716981

Inradius: r = 4.8
Circumradius: R = 9.63333333333

Vertex coordinates: A[17; 0] B[0; 0] C[7.52994117647; 14.11876470588]
Centroid: CG[8.17664705882; 4.70658823529]
Coordinates of the circumscribed circle: U[8.5; 4.53333333333]
Coordinates of the inscribed circle: I[8; 4.8]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 123.8555026128° = 123°51'18″ = 0.98799146525 rad
∠ B' = β' = 118.0722486936° = 118°4'21″ = 1.08108390005 rad
∠ C' = γ' = 118.0722486936° = 118°4'21″ = 1.08108390005 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.