Problem

Theresa bought a new desktop computer. One side of the desktop screen is 14 inches and the other side is 18 inches. What is the length of the diagonal of the desktop screen? Answer choices are rounded to the nearest inch.

Solution

Step 1 :The problem is asking for the length of the diagonal of the desktop screen. This is a right triangle problem where the two sides of the triangle are given and we are asked to find the hypotenuse (diagonal). We can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. In this case, the two sides are 14 inches and 18 inches.

Step 2 :We can calculate the length of the diagonal as follows: \(\text{diagonal} = \sqrt{(14^2) + (18^2)}\)

Step 3 :Substituting the given values, we get \(\text{diagonal} = \sqrt{(14^2) + (18^2)} = \sqrt{196 + 324} = \sqrt{520}\)

Step 4 :The exact value of the diagonal is approximately 22.80350850198276 inches.

Step 5 :Rounding to the nearest inch, we get 23 inches.

Step 6 :Final Answer: The length of the diagonal of the desktop screen is \(\boxed{23}\) inches.

From Solvely APP
Source: https://solvelyapp.com/problems/WWU5Q7Yt3Y/

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