Question

skillstream: determining the distance between two points using the pythagorean theorem : 30 coins
television screen size is determined by the screens diagonal length. what is the approximate screen size of a television with a screen width of 48 inches and a height of 27 inches?
50 inches
55 inches
60 inches
65 inches

Explanation:

Step1: Apply Pythagorean theorem

Let the width $a = 48$ inches and height $b=27$ inches. The Pythagorean theorem for the diagonal $d$ of a right - angled rectangle is $d=\sqrt{a^{2}+b^{2}}$. So $d=\sqrt{48^{2}+27^{2}}$.

Step2: Calculate squares

$48^{2}=48\times48 = 2304$ and $27^{2}=27\times27 = 729$. Then $a^{2}+b^{2}=2304 + 729=3033$.

Step3: Calculate square - root

$d=\sqrt{3033}\approx55$ inches.

Answer:

B. 55 inches