Question

find the width of the tv. the number you enter in for w will measure the tv on the graph. w =

Explanation:

Step1: Apply Pythagorean theorem

Let the width be $w$, height be $h = 24$ inches and diagonal be $d=40$ inches. The Pythagorean theorem for a right - triangle (where the diagonal of the TV screen is the hypotenuse) is $d^{2}=w^{2}+h^{2}$. So, $w^{2}=d^{2}-h^{2}$.

Step2: Substitute values

Substitute $d = 40$ and $h = 24$ into the equation: $w^{2}=40^{2}-24^{2}=1600 - 576=1024$.

Step3: Solve for $w$

Take the square root of both sides. Since $w>0$, $w=\sqrt{1024}=32$.

Answer:

32