# 11 14 24 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 14   c = 24

Area: T = 41.67105831493
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 14.36215115629° = 14°21'41″ = 0.25106556623 rad
Angle ∠ B = β = 18.40222461959° = 18°24'8″ = 0.32111797859 rad
Angle ∠ C = γ = 147.2366242241° = 147°14'10″ = 2.57697572054 rad

Height: ha = 7.57664696635
Height: hb = 5.95329404499
Height: hc = 3.47325485958

Median: ma = 18.86113361139
Median: mb = 17.30660682999
Median: mc = 3.80878865529

Inradius: r = 1.70108401285
Circumradius: R = 22.17439157499

Vertex coordinates: A[24; 0] B[0; 0] C[10.43875; 3.47325485958]
Centroid: CG[11.47991666667; 1.15875161986]
Coordinates of the circumscribed circle: U[12; -18.64662473351]
Coordinates of the inscribed circle: I[10.5; 1.70108401285]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 165.6388488437° = 165°38'19″ = 0.25106556623 rad
∠ B' = β' = 161.5987753804° = 161°35'52″ = 0.32111797859 rad
∠ C' = γ' = 32.76437577589° = 32°45'50″ = 2.57697572054 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.