# 10 19 24 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 19   c = 24

Area: T = 90.54552235074
Perimeter: p = 53
Semiperimeter: s = 26.5

Angle ∠ A = α = 23.39987690434° = 23°23'56″ = 0.40883855607 rad
Angle ∠ B = β = 48.98655003343° = 48°59'8″ = 0.85549582666 rad
Angle ∠ C = γ = 107.6165730622° = 107°36'57″ = 1.87882488263 rad

Height: ha = 18.10990447015
Height: hb = 9.53110761587
Height: hc = 7.54554352923

Median: ma = 21.05994396887
Median: mb = 15.74400762387
Median: mc = 9.30105376189

Inradius: r = 3.41768008871
Circumradius: R = 12.59903935718

Vertex coordinates: A[24; 0] B[0; 0] C[6.56325; 7.54554352923]
Centroid: CG[10.18875; 2.51551450974]
Coordinates of the circumscribed circle: U[12; -3.81102506862]
Coordinates of the inscribed circle: I[7.5; 3.41768008871]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.6011230957° = 156°36'4″ = 0.40883855607 rad
∠ B' = β' = 131.0144499666° = 131°52″ = 0.85549582666 rad
∠ C' = γ' = 72.38442693777° = 72°23'3″ = 1.87882488263 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.