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 7 (ICSE)MathematicsCh 15 · 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 theorem is written as a² + b² = c², where c is the hypotenuse (longest side, opposite the right angle) and a, b are the other two sides.
How it works
For example, if a=3 and b=4, then c² = 3² + 4² = 9+16 = 25, so c = 5 (a well-known 3-4-5 right triangle).
Why it matters
This theorem only applies to right triangles, helping us find an unknown side when we know the other two.
Key detail
The Pythagoras Theorem is widely used in construction, navigation, and various real-life situations involving right angles.
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Quick notes
• Pythagoras Theorem: a² + b² = c².
• c is the hypotenuse (longest side).
• a and b are the other two sides.
• 3-4-5 is a well-known example: 9+16=25, c=5.
• This applies only to right triangles.
• It finds an unknown side from two known sides.
• It's used in construction and navigation.
• It's a fundamental geometry theorem.