# 10 16 24 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 16   c = 24

Area: T = 58.09547501931
Perimeter: p = 50
Semiperimeter: s = 25

Angle ∠ A = α = 17.61224390704° = 17°36'45″ = 0.30773950511 rad
Angle ∠ B = β = 28.95550243719° = 28°57'18″ = 0.50553605103 rad
Angle ∠ C = γ = 133.4332536558° = 133°25'57″ = 2.32988370922 rad

Height: ha = 11.61989500386
Height: hb = 7.26218437741
Height: hc = 4.84112291828

Median: ma = 19.77437199333
Median: mb = 16.55329453572
Median: mc = 5.83109518948

Inradius: r = 2.32437900077
Circumradius: R = 16.52547289438

Vertex coordinates: A[24; 0] B[0; 0] C[8.75; 4.84112291828]
Centroid: CG[10.91766666667; 1.61437430609]
Coordinates of the circumscribed circle: U[12; -11.36107511489]
Coordinates of the inscribed circle: I[9; 2.32437900077]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 162.388756093° = 162°23'15″ = 0.30773950511 rad
∠ B' = β' = 151.0454975628° = 151°2'42″ = 0.50553605103 rad
∠ C' = γ' = 46.56774634422° = 46°34'3″ = 2.32988370922 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.