[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
We know the side relations of a right angled Triangle (that is Pythagoras therom)
now, let the missing side be x
- Hypotenuse² = sum of squares of other legs
that is ~
- [tex]15 {}^{2} = 5 {}^{2} + {x}^{2} [/tex]
- [tex]225 = 25 + {x}^{2} [/tex]
- [tex] {x}^{2} = 225 - 25[/tex]
- [tex] {x}^{2} = 200[/tex]
- [tex]x = \sqrt[]{200} [/tex]
- [tex]x = 10 \sqrt{2} [/tex]
The correct choice is ~ B
