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

If the angles of a triangle are in the ratio 2:3:4, what is the measure of the largest angle?

If a right triangle has legs of 9 cm and 12 cm, what is the length of the hypotenuse?

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

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

If the product of two numbers is 120 and their sum is 26, what are the numbers?

What is the sum of the first 10 positive even numbers?

The sides of a triangle are 7, 24, and 25. Is this a right triangle?

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

What is the probability of drawing an ace from a standard deck of 52 cards?