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 sum of the first 20 odd numbers?

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If a cylinder has a radius of 7 cm and height of 10 cm, what is its volume?

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What is the cube of 4?

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If a number is divisible by 9, it is also divisible by which of the following?

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If 2x = 16, what is the value of x?

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The ratio of two numbers is 3:5, and their sum is 64. What are the numbers?

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

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A sphere has a radius of 7 cm. What is its volume?

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What is the 7th term of the arithmetic progression 3, 6, 9, 12,...?

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If a + b = 10 and ab = 21, what is the value of a^2 + b^2?

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