Answer:
[tex]\huge\boxed{\sf H = 7.5\ inches}[/tex]
Step-by-step explanation:
Let,
Base = 4.5 inches
Perpendicular = 6 inches
We can find the hypotenuse by Pythgoras theorem.
[tex]\sf (Hypotenuse)^2=(Base)^2+(Perpendicular)^2[/tex]
Put the given values
(H)² = (4.5)² + (6)²
(H)² = 20.25 + 36
(H)² = 56.25
Take sqrt on both sides
H = √56.25
H = 7.5 inches
[tex]\rule[225]{225}{2}[/tex]