# 19 24 28 triangle

### Acute scalene triangle.

Sides: a = 19   b = 24   c = 28

Area: T = 224.7698631041
Perimeter: p = 71
Semiperimeter: s = 35.5

Angle ∠ A = α = 41.98664052375° = 41°59'11″ = 0.73328010125 rad
Angle ∠ B = β = 57.67113844812° = 57°40'17″ = 1.00765555434 rad
Angle ∠ C = γ = 80.34222102813° = 80°20'32″ = 1.40222360977 rad

Height: ha = 23.6659855899
Height: hb = 18.73107192534
Height: hc = 16.05549022172

Median: ma = 24.28547688892
Median: mb = 20.77002415445
Median: mc = 16.50875740192

Inradius: r = 6.33215107335
Circumradius: R = 14.20112699246

Vertex coordinates: A[28; 0] B[0; 0] C[10.16107142857; 16.05549022172]
Centroid: CG[12.72202380952; 5.35216340724]
Coordinates of the circumscribed circle: U[14; 2.38224498887]
Coordinates of the inscribed circle: I[11.5; 6.33215107335]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.0143594762° = 138°49″ = 0.73328010125 rad
∠ B' = β' = 122.3298615519° = 122°19'43″ = 1.00765555434 rad
∠ C' = γ' = 99.65877897187° = 99°39'28″ = 1.40222360977 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.