Question

hector is measuring a television. to find the size of the television, hector needs to measure the diagonal of the screen. what is the size, in inches, of the television? 48 inches 51 inches 69 inches 90 inches

Explanation:

Step1: Apply Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(a = 24\), \(b=45\), and \(c\) is the diagonal.
Substitute values: \(24^{2}+45^{2}=c^{2}\)
Calculate \(24^{2}=576\) and \(45^{2}=2025\)
So, \(576 + 2025=c^{2}\)
\(c^{2}=2601\)

Step2: Find \(c\)

Take square root of \(2601\), \(c=\sqrt{2601}\)
\(c = 51\)

Answer:

B. 51 inches