# 11 18 24 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 18   c = 24

Area: T = 93.4266107165
Perimeter: p = 53
Semiperimeter: s = 26.5

Angle ∠ A = α = 25.62881180847° = 25°37'41″ = 0.44772950417 rad
Angle ∠ B = β = 45.05440518787° = 45°3'15″ = 0.78663415466 rad
Angle ∠ C = γ = 109.3187830037° = 109°19'4″ = 1.90879560653 rad

Height: ha = 16.98765649391
Height: hb = 10.38106785739
Height: hc = 7.78655089304

Median: ma = 20.48878012485
Median: mb = 16.35554272338
Median: mc = 8.86600225733

Inradius: r = 3.52655134779
Circumradius: R = 12.71659317245

Vertex coordinates: A[24; 0] B[0; 0] C[7.77108333333; 7.78655089304]
Centroid: CG[10.59902777778; 2.59551696435]
Coordinates of the circumscribed circle: U[12; -4.20765329695]
Coordinates of the inscribed circle: I[8.5; 3.52655134779]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 154.3721881915° = 154°22'19″ = 0.44772950417 rad
∠ B' = β' = 134.9465948121° = 134°56'45″ = 0.78663415466 rad
∠ C' = γ' = 70.68221699634° = 70°40'56″ = 1.90879560653 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.