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Find the length of the diagonal of a rectangle whoee sides measure 7cm and 24 cm?
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Find the length of the diagonal of a rectangle whoee sides measure 7cm...

Calculating the Length of the Diagonal of a Rectangle

To find the length of the diagonal of a rectangle with sides measuring 7cm and 24cm, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the diagonal in this case) is equal to the sum of the squares of the other two sides.

Step 1: Identify the sides of the rectangle
In this case, the sides of the rectangle are given as 7cm and 24cm.

Step 2: Use the Pythagorean theorem formula
Let's denote the sides of the rectangle as a = 7cm and b = 24cm. According to the Pythagorean theorem, the length of the diagonal (d) can be calculated as:
d² = a² + b²

Step 3: Substitute the values
Substitute the values of a and b into the formula:
d² = 7² + 24²
d² = 49 + 576
d² = 625

Step 4: Find the square root to get the length of the diagonal
To find the length of the diagonal, take the square root of 625:
d = √625
d = 25cm

Therefore, the length of the diagonal of the rectangle with sides measuring 7cm and 24cm is 25cm.
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