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

If sin(θ) = 3/5 and θ is an acute angle, what is tan(θ)?

View Question

What is the LCM of 15 and 20?

View Question

A square is inscribed in a circle with a radius of 5 cm. What is the area of the square?

View Question

The perimeter of a rectangle is 50 cm, and its length is 15 cm. What is its width?

View Question

What is the square root of 144?

View Question

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

View Question

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

View Question

If the radius of a circle is 7 cm, what is its circumference?

View Question

How many ways can 4 people sit in a row?

View Question

The sum of the squares of two consecutive integers is 145. What are the integers?

View Question