Question

Can someone help? Explain and give work in how you got the answer.

Answer 1

`▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪`

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 ~

• 
  `15 {}^(2) = 5 {}^(2) + {x}^(2)`

• 
  `225 = 25 + {x}^(2)`

• 
  `{x}^(2) = 225 - 25`

• 
  `{x}^(2) = 200`

• 
  `x = \sqrt[]{200}`

• 
  `x = 10 √(2)`

The correct choice is ~ B