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

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If the perimeter of a square is 40 cm, what is the area of the square?

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What is the sum of all angles in a hexagon?

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The area of an equilateral triangle with side length 6 cm is:

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What is the 7th term of the arithmetic progression 3, 6, 9, 12,...?

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The LCM of 12 and 15 is:

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A man rows downstream at 6 km/h and upstream at 4 km/h. What is the speed of the stream?

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If a cylinder has a radius of 7 cm and height of 10 cm, what is its volume?

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What is the cube of 4?

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If x:y = 2:3 and z:y = 4:3, what is x:z?

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