Question

(6) Show how to rearrange the triangles in theF large outside square so that inside the outside a square there will be the same four triangles, and two squares - one whose side has length a, and the other whose side has length b. Explain how this can be used to prove the Pythagorean Theorem

Answer 1

" Putting the & triangles together and & triangles together we get the same large square and same & all angles with two sm all squarer of length a & b therefore proof of Pythagoras theorem;- let area of large outside square be A therefore A - C^2 = area of & Triangles (from fig)) A - (a^2 + b^2) = area of Delta triangles ("" fig 2) we get a^2 + b^2 = c^2"