Question

the side of a tv screen is measured along the diagonal. a 25 inch tv screen is show. if the television screen shown above is 20 inches wide, what is the height, in inches, of the screen? √45 √90 10 15

Explanation:

Step1: Apply Pythagorean theorem

Let the width be $a = 20$, the height be $b$, and the diagonal be $c=25$. The Pythagorean theorem is $a^{2}+b^{2}=c^{2}$, so $b^{2}=c^{2}-a^{2}$.

Step2: Substitute values

Substitute $a = 20$ and $c = 25$ into the formula $b^{2}=c^{2}-a^{2}$. We get $b^{2}=25^{2}-20^{2}=625 - 400=225$.

Step3: Solve for $b$

Take the square - root of both sides. Since $b>0$, $b=\sqrt{225}=15$.

Answer:

15