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

What is the cube of 4?

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

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The probability of rolling a sum of 7 with two dice is:

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

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What is the sum of all even numbers between 1 and 100?

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

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A cube has a side length of 4 cm. What is its volume?

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The LCM of 12 and 15 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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If 2x = 16, what is the value of x?

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