Answer to Question #120932 in Geometry for Tina

Question

Explain how you will teach the pythagoras theorem to grade 8 learners show all steps of your explanation

Answer 1

We will get 4 right-angled triangle, hypotenuse of each of them is ‘a’: remaining sides of each of them are band c. Remaining part of the figure is the

square EFGH, each of whose side is a, so area of the square EFGH is a².

Now, we are sure that square WXYZ = square EFGH + 4 ∆ GYF

or, (b + c)² = a² + 4 ∙ ¹/₂ b ∙ c

or, b² + c² + 2bc = a² + 2bc

or, b² + c² = a²