Question

Pythagoras' thoerem states that for a right-angled triangle the square on the hypotenuse is equal to the sum of the squares of the other two sides, i.e. a² = b ² + c² as shown by the diagram. Does Pythagoras' theorem work when the areas of semicircles are used? Use your specialising skills by testing some numerical examples to see if Pythagoras' theorem still works.​

Answer 1

Answer: Yes it does work for semi circles!

Explanation:

Area of Semicircle = 1 8 π D 2 And so the area of each semicircle is: A = 1 8 π a 2 B = 1 8 π b 2 C = 1 8 π c 2. Does Area of Semicircle = 1 8 π D 2 And so the area of each semicircle is: A = 1 8 π a 2 B = 1 8 π b 2 C = 1 8 π c 2 so yes it does work