# 19 28 30 triangle

### Acute scalene triangle.

Sides: a = 19   b = 28   c = 30

Area: T = 258.8522153748
Perimeter: p = 77
Semiperimeter: s = 38.5

Angle ∠ A = α = 38.04875074536° = 38°2'51″ = 0.66440542772 rad
Angle ∠ B = β = 65.26550579885° = 65°15'54″ = 1.13990901484 rad
Angle ∠ C = γ = 76.68774345579° = 76°41'15″ = 1.33884482279 rad

Height: ha = 27.24875951314
Height: hb = 18.48994395534
Height: hc = 17.25768102499

Median: ma = 27.41880597417
Median: mb = 20.84546635857
Median: mc = 18.64113518823

Inradius: r = 6.72334325649
Circumradius: R = 15.4144204372

Vertex coordinates: A[30; 0] B[0; 0] C[7.95; 17.25768102499]
Centroid: CG[12.65; 5.75222700833]
Coordinates of the circumscribed circle: U[15; 3.54993233751]
Coordinates of the inscribed circle: I[10.5; 6.72334325649]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.9522492546° = 141°57'9″ = 0.66440542772 rad
∠ B' = β' = 114.7354942011° = 114°44'6″ = 1.13990901484 rad
∠ C' = γ' = 103.3132565442° = 103°18'45″ = 1.33884482279 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.