# 18 19 24 triangle

### Acute scalene triangle.

Sides: a = 18   b = 19   c = 24

Area: T = 168.8154802372
Perimeter: p = 61
Semiperimeter: s = 30.5

Angle ∠ A = α = 47.76768473923° = 47°46'1″ = 0.83436887603 rad
Angle ∠ B = β = 51.40327128396° = 51°24'10″ = 0.89771465835 rad
Angle ∠ C = γ = 80.83304397681° = 80°49'50″ = 1.41107573098 rad

Height: ha = 18.75772002636
Height: hb = 17.77699791971
Height: hc = 14.06879001977

Median: ma = 19.6855019685
Median: mb = 18.96770767384
Median: mc = 14.08990028036

Inradius: r = 5.53549115532
Circumradius: R = 12.15553321816

Vertex coordinates: A[24; 0] B[0; 0] C[11.22991666667; 14.06879001977]
Centroid: CG[11.74330555556; 4.68993000659]
Coordinates of the circumscribed circle: U[12; 1.93770339295]
Coordinates of the inscribed circle: I[11.5; 5.53549115532]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 132.2333152608° = 132°13'59″ = 0.83436887603 rad
∠ B' = β' = 128.597728716° = 128°35'50″ = 0.89771465835 rad
∠ C' = γ' = 99.17695602319° = 99°10'10″ = 1.41107573098 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.