To find DH, we must find HF first. To find HF we can use Pythagorean Theorem.
(1.5)^2 + (1)^2 = HF^2
2.25 + 1 = 3.25
HF =
![√(13)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/coiktmzhjm9fo9xieyewzs3w4nt521t81l.png)
/2
Now we can use this length in the next application of Pythagorean Theorem for the length of DH.
(3)^2 + (
![√(13)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/coiktmzhjm9fo9xieyewzs3w4nt521t81l.png)
/2)^2 = DH^2
9 + 3.25 = 12.25
DH = 7/2 or 3.5in.