# 16 19 27 triangle

### Obtuse scalene triangle.

Sides: a = 16   b = 19   c = 27

Area: T = 149.3998795176
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 35.62331494566° = 35°37'23″ = 0.62217412479 rad
Angle ∠ B = β = 43.76217426927° = 43°45'42″ = 0.76437864964 rad
Angle ∠ C = γ = 100.6155107851° = 100°36'54″ = 1.75660649092 rad

Height: ha = 18.6754849397
Height: hb = 15.72661889659
Height: hc = 11.06765774204

Median: ma = 21.93217121995
Median: mb = 20.05661711201
Median: mc = 11.23661025271

Inradius: r = 4.81993159734
Circumradius: R = 13.73550505242

Vertex coordinates: A[27; 0] B[0; 0] C[11.55655555556; 11.06765774204]
Centroid: CG[12.85218518519; 3.68988591401]
Coordinates of the circumscribed circle: U[13.5; -2.5330140886]
Coordinates of the inscribed circle: I[12; 4.81993159734]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 144.3776850543° = 144°22'37″ = 0.62217412479 rad
∠ B' = β' = 136.2388257307° = 136°14'18″ = 0.76437864964 rad
∠ C' = γ' = 79.38548921493° = 79°23'6″ = 1.75660649092 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.