Pythagoras Theorem
Maharashtra Board · Class 10 · Mathematics
Complete topic list for Pythagoras Theorem in Maharashtra Board Class 10 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.
Topics in Pythagoras Theorem
Pythagoras Theorem - Basic Concept
- In a right-angled triangle, the square of the hypotenuse equals the sum of squares of the other two sides
- The hypotenuse is always the longest side and is opposite to the right angle
- The theorem applies only to right-angled triangles (triangles with one 90° angle)
Converse of Pythagoras Theorem
- If in a triangle, the square of one side equals the sum of squares of other two sides, then it is a right triangle
- Used to verify if a triangle is right-angled when all three sides are known
- The side whose square equals the sum must be the hypotenuse
Pythagorean Triplets
- A set of three natural numbers where the square of largest equals sum of squares of other two
- Common examples: (3,4,5), (5,12,13), (8,15,17), (7,24,25)
- Any multiple of a Pythagorean triplet is also a Pythagorean triplet
Special Right Triangles
- 30°-60°-90° triangle: sides in ratio 1:√3:2
- 45°-45°-90° triangle: sides in ratio 1:1:√2
- Side opposite 30° = (1/2) × hypotenuse
Key Concepts
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What are the important topics in Pythagoras Theorem for Maharashtra Board Class 10 Mathematics?
Pythagoras Theorem covers several key topics that are frequently asked in Maharashtra Board Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Pythagoras Theorem — Maharashtra Board Class 10 Mathematics?
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