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Mia is buying a computer monitor that is 18

inches tall and has a distance of 30 inches
between opposite corners. What is the width of
Mia's new monitor?
inches

This problem is a Pythagorean theorem word problem

1 Answer

5 votes

Answer:

To solve this problem, we can use the Pythagorean theorem, which states that the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse.In this case, the height of the monitor is one leg of the right triangle, and the width of the monitor is the other leg. The distance between opposite corners is the hypotenuse.Let w be the width of the monitor in inches. Then we have:w^2 + 18^2 = 30^2Simplifying and solving for w, we get:w^2 + 324 = 900

w^2 = 576

w = 24Therefore, the width of Mia's new monitor is 24 inches.

Explanation:

User Pietro Biroli
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