the theorem of pythagoras · the theorem of pythagoras in any fight-angled tfiangle, the square on...

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THE THEOREM OF PYTHAGORAS

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Page 1: THE THEOREM OF PYTHAGORAS · The Theorem of Pythagoras In any fight-angled tfiangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. AB2 or

THE THEOREM OF PYTHAGORAS

Page 2: THE THEOREM OF PYTHAGORAS · The Theorem of Pythagoras In any fight-angled tfiangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. AB2 or

Therefore the longest side lies opposite the largest angle.

Therefore the shortest side lies opposite the smallest

angle.

Page 3: THE THEOREM OF PYTHAGORAS · The Theorem of Pythagoras In any fight-angled tfiangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. AB2 or
Page 4: THE THEOREM OF PYTHAGORAS · The Theorem of Pythagoras In any fight-angled tfiangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. AB2 or
Page 5: THE THEOREM OF PYTHAGORAS · The Theorem of Pythagoras In any fight-angled tfiangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. AB2 or

Worksheet 5 7 July – 8 July

Page 6: THE THEOREM OF PYTHAGORAS · The Theorem of Pythagoras In any fight-angled tfiangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. AB2 or
Page 7: THE THEOREM OF PYTHAGORAS · The Theorem of Pythagoras In any fight-angled tfiangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. AB2 or

Worksheet 6 9 July – 10 July

Calculate the length of the unknown side in each if the following triangles:

Page 8: THE THEOREM OF PYTHAGORAS · The Theorem of Pythagoras In any fight-angled tfiangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. AB2 or
Page 9: THE THEOREM OF PYTHAGORAS · The Theorem of Pythagoras In any fight-angled tfiangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. AB2 or
Page 10: THE THEOREM OF PYTHAGORAS · The Theorem of Pythagoras In any fight-angled tfiangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. AB2 or

Worksheet 7 13 Julie – 14 Julie

Page 11: THE THEOREM OF PYTHAGORAS · The Theorem of Pythagoras In any fight-angled tfiangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. AB2 or
Page 12: THE THEOREM OF PYTHAGORAS · The Theorem of Pythagoras In any fight-angled tfiangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. AB2 or

Worksheet 8 15 July – 16 July

Page 13: THE THEOREM OF PYTHAGORAS · The Theorem of Pythagoras In any fight-angled tfiangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. AB2 or

The converse (opposite) of the Theorem of

Pythagoras

Page 14: THE THEOREM OF PYTHAGORAS · The Theorem of Pythagoras In any fight-angled tfiangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. AB2 or

Worksheet 9 17 July – 20 July

Page 15: THE THEOREM OF PYTHAGORAS · The Theorem of Pythagoras In any fight-angled tfiangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. AB2 or

The relationship between the sides and angles of triangles that are not right-angled

Page 16: THE THEOREM OF PYTHAGORAS · The Theorem of Pythagoras In any fight-angled tfiangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. AB2 or
Page 17: THE THEOREM OF PYTHAGORAS · The Theorem of Pythagoras In any fight-angled tfiangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. AB2 or
Page 18: THE THEOREM OF PYTHAGORAS · The Theorem of Pythagoras In any fight-angled tfiangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. AB2 or

Worksheet 10 21 July – 22 July