The length of a rectangular frame is 15 inches, and the width of the frame is 8 inches. What is the length of a diagonal of this frame in inches?

1 answer

To find the length of the diagonal of the rectangular frame, you can use the Pythagorean Theorem, which states that the square of the length of a hypotenuse is equal to the sum of the squares of the other two sides.

Let the diagonal be d, the length be l, and the width be w.

d^2 = l^2 + w^2

Plugging in the values given:

d^2 = 15^2 + 8^2
d^2 = 225 + 64
d^2 = 289

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

d = √289
d = 17

Therefore, the length of the diagonal of the rectangular frame is 17 inches.