Question

21 multiple choice 1 point a rectangular television screen has a height of 5 inches and a width of 12 inches. 12 in 5 in ? in what is the length of the diagonal of the screen? 7 inches 17 inches

Explanation:

Step1: Apply Pythagorean theorem

The Pythagorean theorem states that for a right - triangle with legs \(a\) and \(b\) and hypotenuse \(c\), \(a^{2}+b^{2}=c^{2}\). In a rectangle, the diagonal forms a right - triangle with the height and width. Let \(a = 5\) (height) and \(b=12\) (width). Then \(c^{2}=5^{2}+12^{2}\).

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Step2: Solve for \(c\)

Take the square root of both sides. Since \(c>0\) (length), \(c=\sqrt{169}\).

$$c = 13$$

Answer:

13 inches