Question
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?
Answers
GPT 3.5
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.
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.