Question

If a square television has a 32-inch diagonal viewing screen, what are the approximate dimensions of the screen? Round to the nearest inch. inches by ? ?inches

Answer 1

The dimensions are 23 inch by 23 inches

Explanation:

We can use the Pythagorean theorem

a^2+b^2 = c^2

We know the diagonal is 32 and since it is square each side is x

x^2+x^2 = 32^2

2x^2 = 32^2

2x^2 =1024

Divide by2

x^2 =512

Take the square root of each side

sqrt(x^2) = sqrt( 512)

x =22.627417

To the nearest inch

x = 23