# 13 15 17 triangle

### Acute scalene triangle.

Sides: a = 13   b = 15   c = 17

Area: T = 93.98998801916
Perimeter: p = 45
Semiperimeter: s = 22.5

Angle ∠ A = α = 47.43215457967° = 47°25'54″ = 0.82878366435 rad
Angle ∠ B = β = 58.18769524789° = 58°11'13″ = 1.01655539025 rad
Angle ∠ C = γ = 74.38215017244° = 74°22'53″ = 1.29882021077 rad

Height: ha = 14.44661354141
Height: hb = 12.52199840255
Height: hc = 11.04770447284

Median: ma = 14.65443508898
Median: mb = 13.14334394281
Median: mc = 11.16991539518

Inradius: r = 4.17333280085
Circumradius: R = 8.82658898553

Vertex coordinates: A[17; 0] B[0; 0] C[6.85329411765; 11.04770447284]
Centroid: CG[7.95109803922; 3.68223482428]
Coordinates of the circumscribed circle: U[8.5; 2.37662011149]
Coordinates of the inscribed circle: I[7.5; 4.17333280085]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 132.5688454203° = 132°34'6″ = 0.82878366435 rad
∠ B' = β' = 121.8133047521° = 121°48'47″ = 1.01655539025 rad
∠ C' = γ' = 105.6188498276° = 105°37'7″ = 1.29882021077 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.