# 14 16 24 triangle

### Obtuse scalene triangle.

Sides: a = 14   b = 16   c = 24

Area: T = 107.6244346688
Perimeter: p = 54
Semiperimeter: s = 27

Angle ∠ A = α = 34.09333908114° = 34°5'36″ = 0.59550419228 rad
Angle ∠ B = β = 39.83881498056° = 39°50'17″ = 0.6955306882 rad
Angle ∠ C = γ = 106.0688459383° = 106°4'6″ = 1.85112438488 rad

Height: ha = 15.37549066697
Height: hb = 13.4533043336
Height: hc = 8.96986955573

Median: ma = 19.15772440607
Median: mb = 17.94443584449
Median: mc = 9.05553851381

Inradius: r = 3.98660869144
Circumradius: R = 12.48878806828

Vertex coordinates: A[24; 0] B[0; 0] C[10.75; 8.96986955573]
Centroid: CG[11.58333333333; 2.99895651858]
Coordinates of the circumscribed circle: U[12; -3.45664669747]
Coordinates of the inscribed circle: I[11; 3.98660869144]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145.9076609189° = 145°54'24″ = 0.59550419228 rad
∠ B' = β' = 140.1621850194° = 140°9'43″ = 0.6955306882 rad
∠ C' = γ' = 73.9321540617° = 73°55'54″ = 1.85112438488 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.