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 area of a circle with a diameter of 14 cm?

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If the perimeter of a square is 36 cm, what is the length of its diagonal?

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If a+b = 10 and ab = 21, what is the value of (a-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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What is the length of the diagonal of a square with a side length of 7 cm?

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If sin(A) = 1/2 and A is acute, what is the value of A?

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A triangle has angles 60°, 60°, and 60°. What type of triangle is it?

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A car travels 240 km in 4 hours. What is its average speed?

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The probability of getting an even number when rolling a die is:

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A number is increased by 20% and then decreased by 10%. What is the net change?

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