# 8 15 17 triangle

### Right scalene triangle.

Sides: a = 8   b = 15   c = 17

Area: T = 60
Perimeter: p = 40
Semiperimeter: s = 20

Angle ∠ A = α = 28.07224869359° = 28°4'21″ = 0.49899573263 rad
Angle ∠ B = β = 61.92875130641° = 61°55'39″ = 1.08108390005 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 15
Height: hb = 8
Height: hc = 7.05988235294

Median: ma = 15.52441746963
Median: mb = 10.96658560997
Median: mc = 8.5

Inradius: r = 3
Circumradius: R = 8.5

Vertex coordinates: A[17; 0] B[0; 0] C[3.76547058824; 7.05988235294]
Centroid: CG[6.92215686275; 2.35329411765]
Coordinates of the circumscribed circle: U[8.5; 0]
Coordinates of the inscribed circle: I[5; 3]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.9287513064° = 151°55'39″ = 0.49899573263 rad
∠ B' = β' = 118.0722486936° = 118°4'21″ = 1.08108390005 rad
∠ C' = γ' = 90° = 1.57107963268 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.