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Lanuel

By applying Pythagorean's theorem, the missing side of this right-angled triangle is: A. 7√3 inches.

How to find the missing side?

By critically observing the triangle shown in the image attached below, we can logically deduce that it is a right-angled triangle. Thus, we would find the missing side by applying Pythagorean's theorem:

z² = x² + y²

Also, the sides of this right-angled triangle are:

  • Hypotenuse = 14 inches.
  • Opposite side = x inches.
  • Adjacent side = 7 inches.

Substituting the given parameters into the formula, we have;

14² = x² + 7²

196 = x² + 49

x² = 196 - 49

x² = 147

x = √147

x = √49 × √3

x = 7√3 inches.

Read more on Pythagorean theorem here: https://brainly.com/question/23200848

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