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 sum of the first 20 odd numbers?

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

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A man invests Rs. 5000 at 5% per annum simple interest. What is the total amount after 3 years?

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If 8x = 512, what is the value of x?

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If 5x - 2 = 13, what is the value of x?

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If 2x - 3 = 7, what is the value of x?

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If x^2 - 6x + 9 = 0, what is the value of x?

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If log(100) = 2 and log(10) = 1, what is log(1000)?

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What is the HCF of 72 and 120?

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What is the cube of 4?

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