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Anika [276]
2 years ago
6

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

Mathematics
1 answer:
kvasek [131]2 years ago
4 0

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\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

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