Step-by-step explanation:
Using Pythagoras Theorem:
[tex]c = \sqrt{{a}^{2} + {b}^{2} }[/tex]
7.
[tex]c = \sqrt{ {a}^{2} + {b}^{2} } \\ c = \sqrt{ {24}^{2} + {7}^{2} } \\ c = \sqrt{625} \\ c = 25[/tex]
8.
[tex]a = \sqrt{ {c}^{2} - {b}^{2} } \\ a = \sqrt{ {13}^{2} - {6}^{2} } \\ a = \sqrt{133} \\ a = 11.5[/tex]
(cor. to the nearest tenth)
