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The answer is B. 10cm

The value of x is 6 cm after applying the hypotenuse theorem, option (D) is correct.

What is a right-angle triangle?

It 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.

As we can see, the side view of a desk telephone is making a right angle triangle:

From the Pythagoras theorem:

Hypotenuse = 11 cm

The base = 9.5 cm

Perpendicular = x

11² = x² + 9.5²

x² = 11²—9.5²  

x = √30.75

x = 5.54 cm ≈ 6 cm (The nearest value is 6 cm)

Thus, the value of x is 6 cm after applying the hypotenuse theorem option (D) is correct.

Learn more about the right angle triangle here:

brainly.com/question/3770177

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