# 13 16 17 triangle

### Acute scalene triangle.

Sides: a = 13   b = 16   c = 17

Area: T = 98.28552990024
Perimeter: p = 46
Semiperimeter: s = 23

Angle ∠ A = α = 46.27766909947° = 46°16'36″ = 0.80876806248 rad
Angle ∠ B = β = 62.80554338089° = 62°48'20″ = 1.09661616081 rad
Angle ∠ C = γ = 70.91878751964° = 70°55'4″ = 1.23877504207 rad

Height: ha = 15.12108152311
Height: hb = 12.28656623753
Height: hc = 11.56329763532

Median: ma = 15.17439909055
Median: mb = 12.84552325787
Median: mc = 11.84327192823

Inradius: r = 4.27332738697
Circumradius: R = 8.99442240495

Vertex coordinates: A[17; 0] B[0; 0] C[5.94111764706; 11.56329763532]
Centroid: CG[7.64770588235; 3.85443254511]
Coordinates of the circumscribed circle: U[8.5; 2.94404194008]
Coordinates of the inscribed circle: I[7; 4.27332738697]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 133.7233309005° = 133°43'24″ = 0.80876806248 rad
∠ B' = β' = 117.1954566191° = 117°11'40″ = 1.09661616081 rad
∠ C' = γ' = 109.0822124804° = 109°4'56″ = 1.23877504207 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.