What is the length of the diagonal of a rectangle with length 5 cm and width 12

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Question: What is the length of the diagonal of a rectangle with length 5 cm and width 12 cm?

Options:

Correct Answer: 13 cm

Solution:

Using Pythagorean theorem: diagonal = √(length² + width²) = √(5² + 12²) = √(25 + 144) = √169 = 13 cm.

What is the length of the diagonal of a rectangle with length 5 cm and width 12 cm?

What is the length of the diagonal of a rectangle with length 5 cm and width 12 cm?

Step 1: Identify the length and width of the rectangle. Here, the length is 5 cm and the width is 12 cm.
Step 2: Use the Pythagorean theorem formula to find the diagonal. The formula is diagonal = √(length² + width²).
Step 3: Substitute the values into the formula. This means we calculate diagonal = √(5² + 12²).
Step 4: Calculate 5², which is 25.
Step 5: Calculate 12², which is 144.
Step 6: Add the results from Step 4 and Step 5. So, 25 + 144 = 169.
Step 7: Take the square root of 169. This gives us √169 = 13.
Step 8: Conclude that the length of the diagonal is 13 cm.

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