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a 20 inch rod fits perfectly in a box 15 inches tall what is the measurment of x in the diagram round to the nearest tenth

Sagot :

The 20-inch rod forms a right triangle with the 15 inches tall box

The value of x in the diagram is 13.2 inches

How to determine the value of x

To calculate the value of x, we make use of the following Pythagoras theorem

[tex]20^2 = 15^2 + x^2[/tex]

Evaluate the exponents in the above equation

[tex]400 = 225 + x^2[/tex]

Subtract 225 from both sides of the equation

[tex]175 = x^2[/tex]

Take the square root of both sides

[tex]x = 13.2[/tex]

Hence, the value of x in the diagram is 13.2 inches

Read more about Pythagoras theorem at:

https://brainly.com/question/654982