# 10 18 19 triangle

### Acute scalene triangle.

Sides: a = 10   b = 18   c = 19

Area: T = 88.61111590038
Perimeter: p = 47
Semiperimeter: s = 23.5

Angle ∠ A = α = 31.21111804983° = 31°12'40″ = 0.54547378631 rad
Angle ∠ B = β = 68.86774776095° = 68°52'3″ = 1.20219642318 rad
Angle ∠ C = γ = 79.92113418922° = 79°55'17″ = 1.39548905586 rad

Height: ha = 17.72222318008
Height: hb = 9.84656843338
Height: hc = 9.32774904215

Median: ma = 17.81985296812
Median: mb = 12.22770192606
Median: mc = 11.03440382454

Inradius: r = 3.77106876172
Circumradius: R = 9.64988976063

Vertex coordinates: A[19; 0] B[0; 0] C[3.60552631579; 9.32774904215]
Centroid: CG[7.53550877193; 3.10991634738]
Coordinates of the circumscribed circle: U[9.5; 1.68985570811]
Coordinates of the inscribed circle: I[5.5; 3.77106876172]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.7898819502° = 148°47'20″ = 0.54547378631 rad
∠ B' = β' = 111.133252239° = 111°7'57″ = 1.20219642318 rad
∠ C' = γ' = 100.0798658108° = 100°4'43″ = 1.39548905586 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.