Question

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

Explanation:

Step1: Apply Pythagorean theorem

Let \(a = 5\), \(b=12\). The Pythagorean theorem is \(c^{2}=a^{2}+b^{2}\), so \(c^{2}=5^{2}+12^{2}\).

Step2: Calculate \(a^{2}\) and \(b^{2}\)

\(5^{2}=25\), \(12^{2}=144\). Then \(c^{2}=25 + 144\).

Step3: Sum the values

\(25+144 = 169\), so \(c^{2}=169\).

Step4: Find \(c\)

Take the square root of \(169\), \(c=\sqrt{169}\). Since \(13\times13 = 169\), \(c = 13\).

Answer:

\(13\) inches.