Solve.
-A 35-inch-square TV is on sale at the local electronics store. If 35 inches is the measure of the diagonal of the screen, use the Pythagorean theorem to find the length of the side of the screen to the nearest tenth of an inch.
A)3 in.
B)5.9 in.
C)612.5 in.
D)24.7 in.

Question

Quizplus · Accepted Answer

Let x be the length of the side of the screen. Using the Pythagorean theorem: 
x^2 + x^2 = 35^2 
2x^2 = 1225 
x^2 = 612.5 
Taking the square root, we get x = 24.7 (rounded to the nearest tenth). Therefore, the answer is D. Using the Pythagorean theorem, let x be the length of one side of the square TV screen. Then, using the diagonal as the hypotenuse, we have:
$x^2 + x^2 = 35^2$
Simplifying:
$2x^2 = 1225$
$x^2 = \frac{1225}{2}$
$x \approx 24.7$ (rounded to the nearest tenth of an inch)
Therefore, the best choice is D.

Solve. -A 35-Inch-Square TV Is on Sale at the Local Electronics