Question

A picture frame is 15 inches long and 8 inches wide. In inches, what is the diagonal length of the picture frame?(1 point)
Responses

15 inches
15 inches

12 inches
12 inches

8 inches
8 inches

17 inches

Answer 1

The diagonal length of a rectangle can be found using the Pythagorean theorem. In this case, we have a rectangle with sides that measure 15 inches and 8 inches.

Using the Pythagorean theorem, the square of the diagonal length (d) is equal to the sum of the squares of the two sides (a and b).

d^2 = a^2 + b^2

d^2 = 15^2 + 8^2

d^2 = 225 + 64

d^2 = 289

Taking the square root of both sides, we find that the diagonal length (d) is 17 inches.

Therefore, the correct answer is 17 inches.