High School

A TV measures 42 inches by 22 inches. If you measured diagonally, what would the measurement be?

Answer :

To find the measurement of the diagonal of a rectangle, such as a TV, you can use the Pythagorean theorem, which states that the square of the length of the diagonal is equal to the sum of the squares of the lengths of the two sides.

Let's use the given measurements:

Length (L) = 42 inches
Width (W) = 22 inches

Applying the Pythagorean theorem:

Diagonal^2 = L^2 + W^2

Diagonal^2 = 42^2 + 22^2

Diagonal^2 = 1764 + 484

Diagonal^2 = 2248

Taking the square root of both sides to find the diagonal:

Diagonal = √2248

Diagonal ≈ 47.43 inches

Therefore, if you measured diagonally, the measurement of the TV would be approximately 47.43 inches.