# 10 13 16 triangle

### Acute scalene triangle.

Sides: a = 10   b = 13   c = 16

Area: T = 64.91986991552
Perimeter: p = 39
Semiperimeter: s = 19.5

Angle ∠ A = α = 38.62548328731° = 38°37'29″ = 0.67441305067 rad
Angle ∠ B = β = 54.24111511095° = 54°14'28″ = 0.94766866769 rad
Angle ∠ C = γ = 87.13440160174° = 87°8'2″ = 1.521077547 rad

Height: ha = 12.9843739831
Height: hb = 9.98774921777
Height: hc = 8.11548373944

Median: ma = 13.69330639376
Median: mb = 11.65111801977
Median: mc = 8.39664278119

Inradius: r = 3.32991640592
Circumradius: R = 8.01100187891

Vertex coordinates: A[16; 0] B[0; 0] C[5.844375; 8.11548373944]
Centroid: CG[7.281125; 2.70549457981]
Coordinates of the circumscribed circle: U[8; 0.40105009395]
Coordinates of the inscribed circle: I[6.5; 3.32991640592]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.3755167127° = 141°22'31″ = 0.67441305067 rad
∠ B' = β' = 125.759884889° = 125°45'32″ = 0.94766866769 rad
∠ C' = γ' = 92.86659839826° = 92°51'58″ = 1.521077547 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.