Question

a television screen is 20 inches wide and 15 inches high. the size of a tv is determined by the length of its diagonal.

what is the approximate diagonal length of the television screen?

Explanation:

Step1: Apply Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(a = 15\), \(b = 20\), and \(c\) is the diagonal.
So, \(15^{2}+20^{2}=c^{2}\).

Step2: Calculate \(15^{2}\) and \(20^{2}\)

\(15^{2}=225\), \(20^{2}=400\).
Then \(225 + 400=c^{2}\), i.e., \(c^{2}=625\).

Step3: Solve for \(c\)

Take the square root of \(625\), \(c=\sqrt{625}\).
Since \(\sqrt{625}=25\).

Answer:

\(25\) inches