# 16 24 28 triangle

### Acute scalene triangle.

Sides: a = 16   b = 24   c = 28

Area: T = 191.6254633072
Perimeter: p = 68
Semiperimeter: s = 34

Angle ∠ A = α = 34.77219440319° = 34°46'19″ = 0.60768849107 rad
Angle ∠ B = β = 58.81113776665° = 58°48'41″ = 1.02664521779 rad
Angle ∠ C = γ = 86.41766783015° = 86°25' = 1.5088255565 rad

Height: ha = 23.9533079134
Height: hb = 15.96987194227
Height: hc = 13.68774737909

Median: ma = 24.8199347292
Median: mb = 19.39107194297
Median: mc = 14.83223969742

Inradius: r = 5.63660186198
Circumradius: R = 14.02774241203

Vertex coordinates: A[28; 0] B[0; 0] C[8.28657142857; 13.68774737909]
Centroid: CG[12.09552380952; 4.56224912636]
Coordinates of the circumscribed circle: U[14; 0.87767140075]
Coordinates of the inscribed circle: I[10; 5.63660186198]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145.2288055968° = 145°13'41″ = 0.60768849107 rad
∠ B' = β' = 121.1898622333° = 121°11'19″ = 1.02664521779 rad
∠ C' = γ' = 93.58333216985° = 93°35' = 1.5088255565 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.