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

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What is the sum of the first 50 positive integers?

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If x - y = 5 and x + y = 15, what is the value of x?

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What is the sum of all angles in a hexagon?

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What is the LCM of 15 and 20?

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

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

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

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The LCM of two numbers is 60, and their HCF is 5. If one of the numbers is 20, what is the other number?

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

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