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.
A cone has a base radius of 7 cm and height of 24 cm. What is its volume?
View QuestionA sum of money doubles itself in 5 years at simple interest. What is the rate of interest?
View QuestionA car covers a distance of 150 km in 2.5 hours. What is its average speed?
View QuestionIf the radius of a circle is doubled, what happens to its area?
View QuestionIf x:y = 4:5 and y:z = 2:3, what is x:z?
View QuestionIf a cone has a base radius of 3 cm and height of 4 cm, what is its slant height?
View QuestionIf 8x = 512, what is the value of x?
View QuestionIf 2x - 3 = 7, what is the value of x?
View QuestionThe LCM of two numbers is 60, and their HCF is 5. If one of the numbers is 20, what is the other number?
View QuestionA car travels 240 km in 4 hours. What is its average speed?
View Question