Final answer:
To find the length of a diagonal in a rectangle, we can use the Pythagorean theorem. In this case, the length of one of the diagonals of the rectangle is 26 cm.
Step-by-step explanation:
To find the length of a diagonal in a rectangle, we can use the Pythagorean theorem. The Pythagorean theorem states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides.
In a rectangle, the diagonals are the hypotenuses of two right triangles formed by the sides of the rectangle. So, if the length and width of the rectangle are given, we can use the Pythagorean theorem to find the length of one of the diagonals.
In this case, the length and width of the rectangle are 10 cm and 24 cm respectively. Let's use the Pythagorean theorem to find the length of one of the diagonals.
Step 1: Square the length: 10^2 = 100
Step 2: Square the width: 24^2 = 576
Step 3: Add the squares: 100 + 576 = 676
Step 4: Take the square root of the sum: √676 = 26 cm
Therefore, the length of one of the diagonals of the rectangle is 26 cm.