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

If the sum of the squares of two consecutive positive integers is 365, what are the integers?

A train 120 meters long is moving at a speed of 54 km/h. How long will it take to pass a pole?

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

The sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?

The base of a triangle is 10 cm and its height is 6 cm. What is its area?

If the sum of three consecutive integers is 72, what are the integers?

If two complementary angles differ by 30°, what are the angles?

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

If a square has a perimeter of 64 cm, what is its area?

The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is its area?