The Theorem of Pythagoras (Leaving Cert Mathematics): Flashcards
📚Flashcards
Practise the cards
12 cards from this deck
ShowHide
Practise the cards
12 cards from this deck
Right-angled triangle definition
Right-angled triangle definition
Triangle with one angle of exactly 90 degrees
Hypotenuse definition
Hypotenuse definition
Side opposite the right angle in a right-angled triangle
Length property of hypotenuse
Length property of hypotenuse
Always the longest side of the triangle
Who was Pythagoras?
Who was Pythagoras?
Greek mathematician who proved the theorem
Pythagoras theorem statement
Pythagoras theorem statement
Area of square on hypotenuse = sum of areas of squares on other two sides
Pythagorean formula
Pythagorean formula
where is hypotenuse
Which triangles does the theorem apply to?
Which triangles does the theorem apply to?
Right-angled triangles only (with 90° angle)
First step in solving Pythagoras problems
First step in solving Pythagoras problems
Identify the hypotenuse (opposite right angle)
Calculation steps in Pythagoras
Calculation steps in Pythagoras
Square lengths, add/subtract, take square root
How to verify your answer is correct
How to verify your answer is correct
Hypotenuse should be longer than both other sides
Final step to find actual length
Final step to find actual length
Take the square root
Position of hypotenuse in triangle
Position of hypotenuse in triangle
Directly opposite the right angle
