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 ~

• $15 {}^{2} = 5 {}^{2} + {x}^{2}$

• $225 = 25 + {x}^{2}$

• ${x}^{2} = 225 - 25$

• ${x}^{2} = 200$

• $x = \sqrt[]{200}$

• $x = 10 \sqrt{2}$

The correct choice is ~ B