Question

You have a TV that is 30 inches tall and 40 inches wide. What is the length of the diagonal of the TV. (The measure from bottom left to top right of the TV)

2500 inches


1250 inches


50 inches


26.5 inches

Answer 1

diagonal^2 = height^2 + width^2
diagonal^2 = 30^2 + 40^2
diagonal^2 = 900 + 1600
diagonal^2 = 2500
Taking the square root of both sides, we get:
diagonal = sqrt (2500)
diagonal = 50

Answer 2

50 inches

Explanation:

Using the Pythagorean theorem, we can find the length of the diagonal of the TV:

diagonal^2 = height^2 + width^2

diagonal^2 = 30^2 + 40^2

diagonal^2 = 900 + 1600

diagonal^2 = 2500

Taking the square root of both sides, we get:

diagonal = sqrt(2500)

diagonal = 50

Therefore, the length of the diagonal of the TV is 50 inches.