The triangle is a right triangle, and the length of segment BD is 16.30
How to determine the length BD?
Start by calculating the length CD using the following Pythagoras theorem
[tex]CD = \sqrt{28.9^2 - 24.2^2}[/tex]
Evaluate
[tex]CD = \sqrt{249.57}[/tex]
Take the square of both sides
CD^2 = 249.57
The length BD using the following Pythagoras theorem
[tex]BD = \sqrt{CB^2 - CD^2}[/tex]
So, we have:
[tex]BD = \sqrt{22.7^2 - 249.57}[/tex]
Evaluate
[tex]BD = \sqrt{265.72}[/tex]
Evaluate the square root
BD = 16.30
Hence, the length of segment BD is 16.30
Read more about right triangles at:
https://brainly.com/question/2437195
#SPJ1
