# 19 29 30 triangle

### Acute scalene triangle.

Sides: a = 19   b = 29   c = 30

Area: T = 264.953282599
Perimeter: p = 78
Semiperimeter: s = 39

Angle ∠ A = α = 37.52435132021° = 37°31'25″ = 0.65549088523 rad
Angle ∠ B = β = 68.38217275778° = 68°22'54″ = 1.19334862944 rad
Angle ∠ C = γ = 74.095475922° = 74°5'41″ = 1.29331975069 rad

Height: ha = 27.89897711568
Height: hb = 18.2732608689
Height: hc = 17.66435217327

Median: ma = 27.93329554469
Median: mb = 20.5
Median: mc = 19.39107194297

Inradius: r = 6.79436622049
Circumradius: R = 15.59771161453

Vertex coordinates: A[30; 0] B[0; 0] C[7; 17.66435217327]
Centroid: CG[12.33333333333; 5.88878405776]
Coordinates of the circumscribed circle: U[15; 4.27443458039]
Coordinates of the inscribed circle: I[10; 6.79436622049]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142.4766486798° = 142°28'35″ = 0.65549088523 rad
∠ B' = β' = 111.6188272422° = 111°37'6″ = 1.19334862944 rad
∠ C' = γ' = 105.905524078° = 105°54'19″ = 1.29331975069 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.