Topic Details (Notes format)

How to Use the Pythagorean Theorem

Subject: Mathematics

Book: Maths Mastery

The Pythagorean Theorem, a² + b² = c², applies to right-angled triangles, where c represents the hypotenuse (longest side) and a, b are the legs. For instance, if a = 3 cm and b = 4 cm, c = √(3² + 4²) = √25 = 5 cm. This theorem underlies trigonometry, enabling distance calculations in navigation, construction, and design. From verifying corners in building layouts to analyzing diagonal distances on a computer screen, Pythagoras’s principle is indispensable in geometry and everyday spatial reasoning.

Practice Questions

The angles of a quadrilateral are in the ratio 3:4:5:6. What is the largest angle?

View Question

A sum of money doubles itself in 5 years at simple interest. What is the rate of interest?

View Question

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

View Question

If the perimeter of a square is 40 cm, what is the area of the square?

View Question

If x:y = 4:5 and y:z = 2:3, what is x:z?

View Question

What is the greatest common divisor (GCD) of 36 and 48?

View Question

What is the sum of the interior angles of a hexagon?

View Question

If the sum of three consecutive integers is 96, what are the integers?

View Question

What is the sum of the first 20 odd numbers?

View Question

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

View Question