Answer:
[tex]4 \sqrt{11} [/tex]
Step-by-step explanation:
According to Pythagoras Theorem,
[tex] {(hypotenuse)}^{2} - {height}^{2} = {(base)}^{2} [/tex]
[tex] = > {24}^{2} - {20}^{2} = {x}^{2} [/tex]
[tex] = > \: {x}^{2} = 576 - 400[/tex]
[tex] = > {x}^{2} = 176[/tex]
[tex] = > x = \sqrt{176} [/tex]
[tex] = > x = \sqrt{2 \times 2 \times 2 \times 2 \times 11} [/tex]
[tex] = > x = 2 \times 2 \sqrt{11} [/tex]
[tex] = > x = 4 \sqrt{11} (ans)[/tex]
