# 11 17 24 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 17   c = 24

Area: T = 83.78554402626
Perimeter: p = 52
Semiperimeter: s = 26

Angle ∠ A = α = 24.25496286025° = 24°14'59″ = 0.42332358615 rad
Angle ∠ B = β = 39.40105687537° = 39°24'2″ = 0.68876696519 rad
Angle ∠ C = γ = 116.3549802644° = 116°20'59″ = 2.03106871402 rad

Height: ha = 15.23437164114
Height: hb = 9.85771106191
Height: hc = 6.98221200219

Median: ma = 20.05661711201
Median: mb = 16.62107701386
Median: mc = 7.81102496759

Inradius: r = 3.22325169332
Circumradius: R = 13.39113481445

Vertex coordinates: A[24; 0] B[0; 0] C[8.5; 6.98221200219]
Centroid: CG[10.83333333333; 2.32773733406]
Coordinates of the circumscribed circle: U[12; -5.94437534545]
Coordinates of the inscribed circle: I[9; 3.22325169332]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.7550371397° = 155°45'1″ = 0.42332358615 rad
∠ B' = β' = 140.5999431246° = 140°35'58″ = 0.68876696519 rad
∠ C' = γ' = 63.65501973562° = 63°39'1″ = 2.03106871402 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.