Answer:
[tex]HY=\sqrt{5}\ units[/tex]
Step-by-step explanation:
we know that
The triangle HPY is a right triangle (because the angle ∠HYP is a right angle)
Applying the Pythagorean Theorem
[tex]HP^2=HY^2+PY^2[/tex]
substitute the given values
[tex]3^2=HY^2+2^2[/tex]
Solve for HY
[tex]9=HY^2+4[/tex]
[tex]HY^2=9-4[/tex]
[tex]HY^2=5[/tex]
[tex]HY=\sqrt{5}\ units[/tex]
