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
8 inches
8 inches
15 inches
15 inches
17 inches
17 inches
12 inches
To find the diagonal length of the picture frame, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the length and width of the picture frame form a right triangle, with the diagonal being the hypotenuse.
Using the Pythagorean theorem, we have:
Length^2 + Width^2 = Diagonal^2
15^2 + 8^2 = Diagonal^2
225 + 64 = Diagonal^2
289 = Diagonal^2
Taking the square root of both sides, we get:
Diagonal = √289 = 17 inches
Therefore, the diagonal length of the picture frame is 17 inches.