A 43-inch- square TV is on sale at the local electronics store. If 43 inches is the measure of the diagonal of the screen

pythagorean-theorem
43-inch-square

#1

A 43-inch- square TV is on sale at the local electronics store. If 43 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.) 1849/2 in

B.) Square root 43 inch.

C.) Square root of 43/2 inch.

D.) 43 of Square root of 2/2 inch

Answer:

Since it is a square, it is a 45-45-90 right triangle, and the three sides are x, x, and x root 2. If 43 squared equals 1849, then the square root of one half of that equals one side. In other words, a^2 + a^2 = 43^2, a^2= 1849/2. a= square root of 1849/2 inch.