# 9 16 24 triangle

### Obtuse scalene triangle.

Sides: a = 9   b = 16   c = 24

Area: T = 40.17438409914
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 12.07877450929° = 12°4'40″ = 0.21107964181 rad
Angle ∠ B = β = 21.83877815071° = 21°50'16″ = 0.38111411886 rad
Angle ∠ C = γ = 146.08444734° = 146°5'4″ = 2.55496550469 rad

Height: ha = 8.92875202203
Height: hb = 5.02217301239
Height: hc = 3.34878200826

Median: ma = 19.89334662641
Median: mb = 16.26334559673
Median: mc = 4.95497474683

Inradius: r = 1.64397486119
Circumradius: R = 21.50765320786

Vertex coordinates: A[24; 0] B[0; 0] C[8.35441666667; 3.34878200826]
Centroid: CG[10.78547222222; 1.11659400275]
Coordinates of the circumscribed circle: U[12; -17.84774346069]
Coordinates of the inscribed circle: I[8.5; 1.64397486119]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 167.9222254907° = 167°55'20″ = 0.21107964181 rad
∠ B' = β' = 158.1622218493° = 158°9'44″ = 0.38111411886 rad
∠ C' = γ' = 33.91655266° = 33°54'56″ = 2.55496550469 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.