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These are the topics related to the standard: Understand and apply the Pythagorean Theorem."

Here are some specific activities, investigations or visual aids picked out. Click anywhere in the grey area to access the resource.

• 3D Trigonometry Presentation A slide presentation (a poem) introducing using trigonometry (including Pythagoras' Theorem) to find lengths and angles on three dimensional shapes.
• Make Them Right Arrange the measurements next to the sides of the triangles so that each diagram is correct according to Pythagoras' Theorem.
• Pythagoras An online exercise to test your understanding of and ability to apply Pythagoras' Theorem.
• Pythagoras Basics A drill and practice self marking exercise on the basics of Pythagoras' theorem.
• Pythagoras' Theorem Video The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides.
• Three Dimensional Trigonometry Video When you have mastered trigonometry in two dimensions it is time to practise solving three-dimensional problems.
• Which Side? Arrange the diagrams in groups depending on whether the arrow is pointing to the opposite, adjacent or hypotenuse.

Here is an exam-style questions on this statement:

• "The diagram shows a right-angled triangle and a semicircle. The straight side of the semicircle is the same length as the longest side of the triangle." ... more

Click on a topic below for suggested lesson starters, resources and activities from Transum.

• Pythagoras Pythagoras was a Greek philosopher, mathematician, and founder of the religious movement called Pythagoreanism. He is most famous for his theorem connecting the lengths of the sides of right angled triangles. His theorem states that the squares of the lengths of the two shorter sides of any right-angled triangle will add up to the square of the length of the longest side (the hypotenuse). This theorem can be used to calculate the length of any side of a right-angled triangle if the lengths of the other two sides are known. Do you know when the next Pythagorean Day is? It will occur when the square of the day added to the square of the month equals the square of the last two digits of the year.