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 the sum of the angles of a polygon is 1080°, how many sides does the polygon have?

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If 2x = 16, what is the value of x?

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If a = 5 and b = 12, what is the length of the hypotenuse of a right triangle?

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A rectangle has an area of 48 cm² and a length of 8 cm. What is its width?

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The LCM of 12 and 15 is:

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If the radius of a circle is doubled, what happens to its area?

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

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If the probability of an event is 1/4, what is the probability of its complement?

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If x = 3 and y = 4, what is the value of x^2 + y^2?

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If a+b = 10 and ab = 21, what is the value of (a-b)^2?

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