# 9 13 19 triangle

### Obtuse scalene triangle.

Sides: a = 9   b = 13   c = 19

Area: T = 51.49993932003
Perimeter: p = 41
Semiperimeter: s = 20.5

Angle ∠ A = α = 24.64552747866° = 24°38'43″ = 0.43301411901 rad
Angle ∠ B = β = 37.03771040964° = 37°2'14″ = 0.64664194119 rad
Angle ∠ C = γ = 118.3187621117° = 118°19'3″ = 2.06550320516 rad

Height: ha = 11.44443096001
Height: hb = 7.92329835693
Height: hc = 5.42109887579

Median: ma = 15.64444878472
Median: mb = 13.37697419571
Median: mc = 5.89549130613

Inradius: r = 2.5122165522
Circumradius: R = 10.79113892857

Vertex coordinates: A[19; 0] B[0; 0] C[7.18442105263; 5.42109887579]
Centroid: CG[8.72880701754; 1.80769962526]
Coordinates of the circumscribed circle: U[9.5; -5.11989923535]
Coordinates of the inscribed circle: I[7.5; 2.5122165522]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.3554725213° = 155°21'17″ = 0.43301411901 rad
∠ B' = β' = 142.9632895904° = 142°57'46″ = 0.64664194119 rad
∠ C' = γ' = 61.6822378883° = 61°40'57″ = 2.06550320516 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.