Q1
What does the Pythagoras theorem state?
Aa²+b²=c² for a right triangle
Ba+b=c for any triangle
Ca²-b²=c² for a right triangle
Da×b=c for a right triangle
SSCClass 10 (SSC)Mathematics - Geometry (भूमिती)Ch 2 · Topic 2
Practice and Revision - Pythagoras Theorem
Let us practise and revise what we learned about pythagoras theorem. The Pythagoras theorem states that in a right triangle, the square of t
Core concept
The Pythagoras theorem is stated as a²+b²=c², where c is the hypotenuse (longest side) and a, b are the other two sides of a right triangle.
How it works
This theorem only applies to right triangles, where one angle measures exactly 90°, and c is always opposite this right angle.
Why it matters
The converse of the Pythagoras theorem states that if a²+b²=c² for a triangle's sides, then the triangle must be a right triangle.
Key detail
The Pythagoras theorem has practical applications in construction, navigation, and calculating distances that cannot be measured directly.
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Quick notes
• Pythagoras theorem: a²+b²=c².
• c = hypotenuse (longest side).
• a, b = other two sides.
• Only applies to right triangles.
• One angle is exactly 90°.
• c is opposite the right angle.
• Converse: if a²+b²=c², triangle is right-angled.
• Applications: construction, navigation, distances.