Q1
What does the Pythagoras Theorem state?
Aa² + b² = c² in a right triangle
Ba + b = c always
Ca × b = c always
DIt applies to all triangles
ICSEClass 9 (ICSE)MathematicsCh 13 · Topic 1
Pythagoras Theorem
The Pythagoras Theorem states that in a right triangle, the square of the hypotenuse equals the sum of squares of the other two sides.
Core concept
The theorem is written as a² + b² = c², where c is the hypotenuse and a, b are the other two sides of a right triangle.
How it works
This theorem can be used to find an unknown side when the other two sides of a right triangle are known.
Why it matters
The converse of the Pythagoras Theorem states that if a² + b² = c² holds for a triangle's sides, the triangle must be a right triangle.
Key detail
This theorem has wide applications in construction, navigation, and various fields requiring distance or length calculations.
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• Pythagoras Theorem: a² + b² = c².
• c is the hypotenuse; a, b are other sides.
• It finds an unknown side of a right triangle.
• The converse proves a triangle is right-angled.
• This holds if a²+b²=c² for the sides.
• It has applications in construction and navigation.
• It's used for distance calculations.
• This is a fundamental geometry theorem.