A television is 32 inches wide and 24 inches tall. Find the length of the diagonal.

Question

A television is 32 inches wide and 24 inches tall. Find the length of the diagonal.

a	40 inches
b	48 inches
c	56 inches
d	64 inches

Answer 1

The width and height, 32 and 24 inches, form the legs of a right triangle. The diagonal is the hypotenuse.

Use the Pythagorean Theorem to find the length of the diagonal (D):

32^2 + 24^2 = D^2

D = 40 (a)

Answer 2

The diagonal is the hypotenuse of a right triangle, so we can use pythagorean theorem to calculate its length:

24² + 32² = c^{2. ,} c² = 1600 , c = √1600. = 40 in