Answer:
[tex]x = 16\sqrt{2}[/tex]
Step-by-step explanation:
we are given a right triangle.
then
In order to determine x we need to use
the Pythagorean theorem:
[tex]x^{2}+8^{2}=24^{2}[/tex]
⇔ x² + 64 = 576
⇔ x² = 576 - 64
⇔ x² = 512
⇔ x² = 2⁹
⇔ x² = 2 × 2⁸
[tex]\Longleftrightarrow x=\sqrt{2\times 2^{8}} =\sqrt{2\times \left( 2^{4}\right)^{2} }[/tex]
[tex]\Longleftrightarrow x= \sqrt{\left( 16\right)^{2} } \times \sqrt{2[/tex]
[tex]\Longleftrightarrow x = 16\sqrt{2}[/tex]
