The Theorem of Pythagoras (Leaving Cert Mathematics): Flashcards

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The Theorem of Pythagoras
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Right-angled triangle definition

Triangle with one angle of exactly 90 degrees

Hypotenuse definition

Side opposite the right angle in a right-angled triangle

Length property of hypotenuse

Always the longest side of the triangle

Who was Pythagoras?

Greek mathematician who proved the theorem

Pythagoras theorem statement

Area of square on hypotenuse = sum of areas of squares on other two sides

Pythagorean formula

a2=b2+c2a^2 = b^2 + c^2 where aa is hypotenuse

Which triangles does the theorem apply to?

Right-angled triangles only (with 90° angle)

First step in solving Pythagoras problems

Identify the hypotenuse (opposite right angle)

Calculation steps in Pythagoras

Square lengths, add/subtract, take square root

How to verify your answer is correct

Hypotenuse should be longer than both other sides

Final step to find actual length

Take the square root

Position of hypotenuse in triangle

Directly opposite the right angle

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