# 11 18 23 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 18   c = 23

Area: T = 96.74770929796
Perimeter: p = 52
Semiperimeter: s = 26

Angle ∠ A = α = 27.86441830985° = 27°51'51″ = 0.48663217384 rad
Angle ∠ B = β = 49.88991271742° = 49°53'21″ = 0.87107295301 rad
Angle ∠ C = γ = 102.2476689727° = 102°14'48″ = 1.7854541385 rad

Height: ha = 17.59903805417
Height: hb = 10.75496769977
Height: hc = 8.41327906939

Median: ma = 19.90660292374
Median: mb = 15.62204993518
Median: mc = 9.5

Inradius: r = 3.72110420377
Circumradius: R = 11.76877954442

Vertex coordinates: A[23; 0] B[0; 0] C[7.08769565217; 8.41327906939]
Centroid: CG[10.02989855072; 2.80442635646]
Coordinates of the circumscribed circle: U[11.5; -2.49661990336]
Coordinates of the inscribed circle: I[8; 3.72110420377]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.1365816901° = 152°8'9″ = 0.48663217384 rad
∠ B' = β' = 130.1110872826° = 130°6'39″ = 0.87107295301 rad
∠ C' = γ' = 77.75333102727° = 77°45'12″ = 1.7854541385 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.