Question

How does the diagram illustrate the Pythagorean theorem?

Answer 1

The Pythagorean theorem can be shown with the formula a²+b²=c². This means that if you square the two sides of a right triangle and add them together, they will equal the hypotenuse squared.

In this case, the smallest side of the triangle has 36 squares, which is the same as 6². The larger side of the triangle has 64 squares, or 8². If you do 36+64, you get 100, the same thing as 10². Put all that together and you should get 6²+8²=10², following the formula a²+b²=c².

Hope this helps!

Answer 2

Answer:

The diagram illustrates the Pythagorean theorem because if you add the area of the two smaller squares it equals the area of the largest square.

Step-by-step explanation:

the 2nd biggest square's area is 64. (A=lw

                                                             A=8x8

                                                             A=64)

the smallest square's area is 36. (A=lw

                                                      A=6x6

                                                      A=36)

the smaller square's areas combined is 100. (64+36=100)

the largest square's area is 100.  (A=lw

                                                       A=10x10

                                                       A=100)

the largest square's area (100) equals the smaller square's areas combined (100).