# 11 13 17 triangle

### Acute scalene triangle.

Sides: a = 11   b = 13   c = 17

Area: T = 71.54995629357
Perimeter: p = 41
Semiperimeter: s = 20.5

Angle ∠ A = α = 40.32199178356° = 40°19'12″ = 0.70437153204 rad
Angle ∠ B = β = 49.8880417466° = 49°52'50″ = 0.87105775171 rad
Angle ∠ C = γ = 89.87996646984° = 89°47'59″ = 1.56772998162 rad

Height: ha = 132.9999205338
Height: hb = 110.9999327593
Height: hc = 8.41217132866

Median: ma = 14.09878721799
Median: mb = 12.75773508222
Median: mc = 8.52993610546

Inradius: r = 3.48877835578
Circumradius: R = 8.5500051959

Vertex coordinates: A[17; 0] B[0; 0] C[7.08882352941; 8.41217132866]
Centroid: CG[8.02994117647; 2.80439044289]
Coordinates of the circumscribed circle: U[8.5; 0.03297204614]
Coordinates of the inscribed circle: I[7.5; 3.48877835578]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.6880082164° = 139°40'48″ = 0.70437153204 rad
∠ B' = β' = 130.1219582534° = 130°7'10″ = 0.87105775171 rad
∠ C' = γ' = 90.22003353016° = 90°12'1″ = 1.56772998162 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.