# 7 19 24 triangle

### Obtuse scalene triangle.

Sides: a = 7   b = 19   c = 24

Area: T = 51.96215242271
Perimeter: p = 50
Semiperimeter: s = 25

Angle ∠ A = α = 13.17435511073° = 13°10'25″ = 0.2329921841 rad
Angle ∠ B = β = 38.21332107017° = 38°12'48″ = 0.66769463445 rad
Angle ∠ C = γ = 128.6133238191° = 128°36'48″ = 2.24547244681 rad

Height: ha = 14.84661497792
Height: hb = 5.47696341292
Height: hc = 4.33301270189

Median: ma = 21.36600093633
Median: mb = 14.90880515159
Median: mc = 7.81102496759

Inradius: r = 2.07884609691
Circumradius: R = 15.35875171604

Vertex coordinates: A[24; 0] B[0; 0] C[5.5; 4.33301270189]
Centroid: CG[9.83333333333; 1.4433375673]
Coordinates of the circumscribed circle: U[12; -9.58440144685]
Coordinates of the inscribed circle: I[6; 2.07884609691]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 166.8266448893° = 166°49'35″ = 0.2329921841 rad
∠ B' = β' = 141.7876789298° = 141°47'12″ = 0.66769463445 rad
∠ C' = γ' = 51.3876761809° = 51°23'12″ = 2.24547244681 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.