First, we need to draw the right triangle and the given measures:
We need to find the missing leg using the Pythagorean Theorem:
[tex]h^2=l^2+x^2[/tex]
Where h represents the hypotenuse.
l represents the given side and x represents the missing side length.
Solve for x:
[tex]x=\sqrt{h^2-l^2}[/tex]
eplacoig:
[tex]x=\sqrt{15^2-9^2}[/tex]
Hence, te misising side length is 12.
[tex]x=12[/tex]
