Question

question 23 a 14 - inch laptop has a screen that is 9 inches tall. how wide is the screen? approximate the width to the nearest hundredth. note: laptops and tv screens are measured based on their diagonal length (corner to corner).

Explanation:

Step1: Apply Pythagorean theorem

Let the width be $w$, height $h = 9$ inches and diagonal $d=14$ inches. By Pythagorean theorem $d^{2}=w^{2}+h^{2}$, so $w^{2}=d^{2}-h^{2}$.

Step2: Substitute values

Substitute $d = 14$ and $h = 9$ into the equation: $w^{2}=14^{2}-9^{2}=196 - 81=115$.

Step3: Solve for $w$

$w=\sqrt{115}\approx10.72$ inches.

Answer:

$10.72$