# 14 16 28 triangle

### Obtuse scalene triangle.

Sides: a = 14   b = 16   c = 28

Area: T = 75.21997340421
Perimeter: p = 58
Semiperimeter: s = 29

Angle ∠ A = α = 19.61659069161° = 19°36'57″ = 0.34223621615 rad
Angle ∠ B = β = 22.56113280909° = 22°33'41″ = 0.39437694588 rad
Angle ∠ C = γ = 137.8232764993° = 137°49'22″ = 2.40554610333 rad

Height: ha = 10.74328191489
Height: hb = 9.43999667553
Height: hc = 5.37114095744

Median: ma = 21.70325344142
Median: mb = 20.64397674406
Median: mc = 5.47772255751

Inradius: r = 2.59330942773
Circumradius: R = 20.85111375735

Vertex coordinates: A[28; 0] B[0; 0] C[12.92985714286; 5.37114095744]
Centroid: CG[13.64328571429; 1.79904698581]
Coordinates of the circumscribed circle: U[14; -15.45221823089]
Coordinates of the inscribed circle: I[13; 2.59330942773]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 160.3844093084° = 160°23'3″ = 0.34223621615 rad
∠ B' = β' = 157.4398671909° = 157°26'19″ = 0.39437694588 rad
∠ C' = γ' = 42.17772350071° = 42°10'38″ = 2.40554610333 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.