1.
[tex] {5}^{2} + {x}^{2} = {9}^{2} [/tex]
[tex]25 + {x}^{2} = 81[/tex]
[tex] {x}^{2} = 81 - 25 = 56[/tex]
[tex]56 |2[/tex]
[tex]28 |2[/tex]
[tex]14 |2[/tex]
[tex]7 |7[/tex]
[tex]x = \sqrt{56} = 2 \sqrt{14} [/tex]
[tex]p = \frac{a \times h}{2} = \frac{5 \times 2 \sqrt{14} }{2} = 5 \sqrt{14} [/tex]
2.
[tex] {7}^{2} + {24}^{2} = {x}^{2} [/tex]
[tex]49 + 576 = {x}^{2} [/tex]
[tex]625 = {x}^{2} [/tex]
[tex]x = \sqrt{625} = 25[/tex]
