# 8 13 16 triangle

### Obtuse scalene triangle.

Sides: a = 8   b = 13   c = 16

Area: T = 51.68111135716
Perimeter: p = 37
Semiperimeter: s = 18.5

Angle ∠ A = α = 29.7977347297° = 29°47'50″ = 0.52200618187 rad
Angle ∠ B = β = 53.85440789884° = 53°51'15″ = 0.9439930994 rad
Angle ∠ C = γ = 96.34985737146° = 96°20'55″ = 1.68215998409 rad

Height: ha = 12.92202783929
Height: hb = 7.95109405495
Height: hc = 6.46601391964

Median: ma = 14.01878457689
Median: mb = 10.85112672071
Median: mc = 7.24656883731

Inradius: r = 2.79435737066
Circumradius: R = 8.04993621606

Vertex coordinates: A[16; 0] B[0; 0] C[4.719875; 6.46601391964]
Centroid: CG[6.906625; 2.15333797321]
Coordinates of the circumscribed circle: U[8; -0.89900737004]
Coordinates of the inscribed circle: I[5.5; 2.79435737066]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.2032652703° = 150°12'10″ = 0.52200618187 rad
∠ B' = β' = 126.1465921012° = 126°8'45″ = 0.9439930994 rad
∠ C' = γ' = 83.65114262854° = 83°39'5″ = 1.68215998409 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.