# 14 21 27 triangle

### Obtuse scalene triangle.

Sides: a = 14   b = 21   c = 27

Area: T = 145.1989531303
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 30.80659715435° = 30°48'21″ = 0.53876656327 rad
Angle ∠ B = β = 50.19223972126° = 50°11'33″ = 0.87660225908 rad
Angle ∠ C = γ = 99.00216312439° = 99°6″ = 1.72879044301 rad

Height: ha = 20.74113616147
Height: hb = 13.82875744098
Height: hc = 10.75547800965

Median: ma = 23.15216738056
Median: mb = 18.76883243791
Median: mc = 11.67326175299

Inradius: r = 4.68435332678
Circumradius: R = 13.66883408383

Vertex coordinates: A[27; 0] B[0; 0] C[8.9632962963; 10.75547800965]
Centroid: CG[11.9887654321; 3.58549266988]
Coordinates of the circumscribed circle: U[13.5; -2.13985839407]
Coordinates of the inscribed circle: I[10; 4.68435332678]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 149.1944028457° = 149°11'39″ = 0.53876656327 rad
∠ B' = β' = 129.8087602787° = 129°48'27″ = 0.87660225908 rad
∠ C' = γ' = 80.99883687561° = 80°59'54″ = 1.72879044301 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.