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Answer:

Step-by-step explanation:

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The value of x or the missing length is 16 units after applying the Pythagoras theorem option (C) is correct.

What is the Pythagoras theorem?

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

It is given that:

A right-angle triangle is shown in the picture with dimensions.

A right-angle triangle is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

It is required to find the value of x.

To find the value of the x we can use Pythagoras theorem:

Using Pythagoras theorem:

hypotenuse² = perpendicular² + base²

Let the red line length is y

(15)² = 9² + (y)²

y = 144 units

x = 144/9

x = 16 units

Thus, the value of x or the missing length is 16 units after applying the Pythagoras theorem option (C) is correct.

Learn more about Pythagoras' theorem here:

https://brainly.com/question/21511305


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