# 13 19 24 triangle

### Obtuse scalene triangle.

Sides: a = 13   b = 19   c = 24

Area: T = 122.9633409192
Perimeter: p = 56
Semiperimeter: s = 28

Angle ∠ A = α = 32.63768975036° = 32°38'13″ = 0.57696213191 rad
Angle ∠ B = β = 52.02201275551° = 52°1'12″ = 0.90879225031 rad
Angle ∠ C = γ = 95.34329749413° = 95°20'35″ = 1.66440488314 rad

Height: ha = 18.91774475679
Height: hb = 12.9443516757
Height: hc = 10.2476950766

Median: ma = 20.64658228221
Median: mb = 16.88002976164
Median: mc = 11

Inradius: r = 4.39215503283
Circumradius: R = 12.05223659009

Vertex coordinates: A[24; 0] B[0; 0] C[8; 10.2476950766]
Centroid: CG[10.66766666667; 3.41656502553]
Coordinates of the circumscribed circle: U[12; -1.12222850839]
Coordinates of the inscribed circle: I[9; 4.39215503283]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.3633102496° = 147°21'47″ = 0.57696213191 rad
∠ B' = β' = 127.9879872445° = 127°58'48″ = 0.90879225031 rad
∠ C' = γ' = 84.65770250587° = 84°39'25″ = 1.66440488314 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.