# 14 27 28 triangle

### Acute scalene triangle.

Sides: a = 14   b = 27   c = 28

Area: T = 185.6843702839
Perimeter: p = 69
Semiperimeter: s = 34.5

Angle ∠ A = α = 29.42112427193° = 29°25'16″ = 0.51334975555 rad
Angle ∠ B = β = 71.32878183712° = 71°19'40″ = 1.24549052788 rad
Angle ∠ C = γ = 79.25109389095° = 79°15'3″ = 1.38331898193 rad

Height: ha = 26.52662432627
Height: hb = 13.75443483584
Height: hc = 13.26331216314

Median: ma = 26.59988721565
Median: mb = 17.54328047928
Median: mc = 16.32548277173

Inradius: r = 5.38221363142
Circumradius: R = 14.25500389617

Vertex coordinates: A[28; 0] B[0; 0] C[4.48221428571; 13.26331216314]
Centroid: CG[10.82773809524; 4.42110405438]
Coordinates of the circumscribed circle: U[14; 2.65877453619]
Coordinates of the inscribed circle: I[7.5; 5.38221363142]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.5798757281° = 150°34'44″ = 0.51334975555 rad
∠ B' = β' = 108.6722181629° = 108°40'20″ = 1.24549052788 rad
∠ C' = γ' = 100.749906109° = 100°44'57″ = 1.38331898193 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.