# 11 18 19 triangle

### Acute scalene triangle.

Sides: a = 11   b = 18   c = 19

Area: T = 96.74770929796
Perimeter: p = 48
Semiperimeter: s = 24

Angle ∠ A = α = 34.45659504613° = 34°27'21″ = 0.60113697825 rad
Angle ∠ B = β = 67.7910739266° = 67°47'27″ = 1.18331716026 rad
Angle ∠ C = γ = 77.75333102727° = 77°45'12″ = 1.35770512686 rad

Height: ha = 17.59903805417
Height: hb = 10.75496769977
Height: hc = 10.18439045242

Median: ma = 17.67105970471
Median: mb = 12.64991106407
Median: mc = 11.5

Inradius: r = 4.03111288741
Circumradius: R = 9.72112223234

Vertex coordinates: A[19; 0] B[0; 0] C[4.15878947368; 10.18439045242]
Centroid: CG[7.71992982456; 3.39546348414]
Coordinates of the circumscribed circle: U[9.5; 2.06220774625]
Coordinates of the inscribed circle: I[6; 4.03111288741]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145.5444049539° = 145°32'39″ = 0.60113697825 rad
∠ B' = β' = 112.2099260734° = 112°12'33″ = 1.18331716026 rad
∠ C' = γ' = 102.2476689727° = 102°14'48″ = 1.35770512686 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.