Answer:
X = 20
Step-by-step explanation:
To get the answer, we can set this up like a ratio.
First, we need to get the missing side of the small triangle. Using [tex]a^{2} +b^{2} = c^{2}[/tex] we get [tex]9^{2} +b^{2} =15^{2}[/tex]
[tex]9^{2} +b^{2} =15^{2}[/tex] square
[tex]81 +b^{2} = 225[/tex] subtract 81 from 225
[tex]b^{2} =144[/tex] square root
[tex]b=12[/tex]
Set up a ratio:
[tex]\frac{9}{15} = \frac{12}{x}[/tex]
[tex]\frac{3}{5} =\frac{12}{x}\\3x=60\\x=20[/tex]
