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Flashcards Mathematics Year 10

Pythagoras’ Theorem

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How do you find the length of one leg if the hypotenuse and the other leg are known?
Rearrange the theorem: $a = \sqrt{c^2 - b^2}$ or $b = \sqrt{c^2 - a^2}$.
How can Pythagoras' Theorem be visualized geometrically?
It can be visualized with squares drawn on each side of the triangle, showing area relationships.
What is the converse of Pythagoras' Theorem?
If $a^2 + b^2 = c^2$, then the triangle is a right triangle.
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