Answer:
C) 7.3
Step-by-step explanation:
Recall the Pythagoras Theorem.
[tex]|AC|^2=|AB|^2+|BC|^2[/tex]
From the diagram ,|AB|=2 units and |BC|=7 units
We substitute into the formula to get:
[tex]|AC|^2=2^2+7^2 [/tex]
Simplify exponents
[tex]|AC|^2=4+49[/tex]
Add
[tex]|AC|^2=53[/tex]
[tex]|AC| = \sqrt{53} [/tex]
[tex]|AC| = 7.28[/tex]
To the nearest tenth, AC=7.3 units
