# 6 13 16 triangle

### Obtuse scalene triangle.

Sides: a = 6   b = 13   c = 16

Area: T = 36.85769871259
Perimeter: p = 35
Semiperimeter: s = 17.5

Angle ∠ A = α = 20.75663151734° = 20°45'23″ = 0.36222660404 rad
Angle ∠ B = β = 50.1621560023° = 50°9'42″ = 0.87554843803 rad
Angle ∠ C = γ = 109.0822124804° = 109°4'56″ = 1.90438422329 rad

Height: ha = 12.28656623753
Height: hb = 5.67703057117
Height: hc = 4.60771233907

Median: ma = 14.26553426177
Median: mb = 10.18657743937
Median: mc = 6.2054836823

Inradius: r = 2.10661135501
Circumradius: R = 8.46551520466

Vertex coordinates: A[16; 0] B[0; 0] C[3.844375; 4.60771233907]
Centroid: CG[6.61545833333; 1.53657077969]
Coordinates of the circumscribed circle: U[8; -2.76774535537]
Coordinates of the inscribed circle: I[4.5; 2.10661135501]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 159.2443684827° = 159°14'37″ = 0.36222660404 rad
∠ B' = β' = 129.8388439977° = 129°50'18″ = 0.87554843803 rad
∠ C' = γ' = 70.91878751964° = 70°55'4″ = 1.90438422329 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.