Topic Details (Notes format)

How to Calculate the Diagonal of a Rectangle

Subject: Mathematics

Book: Maths Mastery

A rectangle’s diagonal forms a right triangle with the length and width. Hence, use the Pythagorean theorem: diagonal d = √(length² + width²). For example, if a rectangle measures 6 m by 8 m, the diagonal is √(6² + 8²) = √(36 + 64) = √100 = 10 m. Diagonal lengths are critical in TV screens or monitor dimensions, tile measurements, and designing rectangular structures. A strong grasp of diagonal formulas ensures you handle “corner-to-corner” distances confidently.

Practice Questions

What is the length of the diagonal of a square with a side length of 7 cm?

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The sum of the reciprocals of two numbers is 1/4. If one number is 12, what is the other?

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If the radius of a circle is doubled, what happens to its area?

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If a = 2 and b = 3, what is the value of (a^2 + b^2)?

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If a = 5 and b = 12, what is the length of the hypotenuse of a right triangle?

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The area of an equilateral triangle with side length 6 cm is:

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What is the square root of 0.25?

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If x + 1/x = 5, what is the value of x^2 + 1/x^2?

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If log(100) = 2 and log(10) = 1, what is log(1000)?

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What is the value of x if 3x + 7 = 16?

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