Question
The measures of a rectangle are 8 inches by 15 inches. Find the length of the diagonal.
17 inches
18 inches
23 inches
25 inches
17 inches
18 inches
23 inches
25 inches
Answers
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To find the length of the diagonal of a rectangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the diagonal) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the two sides of the rectangle are the length (8 inches) and the width (15 inches). Using the Pythagorean theorem, we can calculate the length of the diagonal:
Diagonal^2 = Length^2 + Width^2
Diagonal^2 = 8^2 + 15^2
Diagonal^2 = 64 + 225
Diagonal^2 = 289
Diagonal = √289
Diagonal ≈ 17
Therefore, the length of the diagonal of the rectangle is approximately 17 inches.
In this case, the two sides of the rectangle are the length (8 inches) and the width (15 inches). Using the Pythagorean theorem, we can calculate the length of the diagonal:
Diagonal^2 = Length^2 + Width^2
Diagonal^2 = 8^2 + 15^2
Diagonal^2 = 64 + 225
Diagonal^2 = 289
Diagonal = √289
Diagonal ≈ 17
Therefore, the length of the diagonal of the rectangle is approximately 17 inches.