A 33-inch-square TV is on sale at the local electronics store. If 33 inches is the measure of the diagonal of the screen, use the Pythagorean theorem to find the length of the side of the screen.
A) $\frac{1089}{2}$
B) $\sqrt{33}$ in.
C) $\frac{\sqrt{33}}{2}$ in.
D) $\frac{33 \sqrt{2}}{2}$ in.

Question

Quizplus · Accepted Answer

The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. If we assume the TV screen is a perfect square, then its sides are equal, and we can let each side be $x$. Thus, $x^2 + x^2 = 33^2$. Simplifying, we get $2x^2 = 1089$, and solving for $x$, we find $x = \frac{33\sqrt{2}}{2}$.

A 33-Inch-Square TV Is on Sale at the Local Electronics 10892\frac{1089}{2}21089​

A 33-Inch-Square TV Is on Sale at the Local Electronics $\frac{1089}{2}$