How does the diagram illustrate the pythagorean theorem?

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!

Okay so for every triangle has three angles that always add up to 180 degrees. and to tell the difference between whether they are secure, right or obtuse is that acute: has one angle that is less than 90 degrees. right triangle means there is at least one angle that is exactly 90 degrees. and an obtuse angle has an angle that is bigger than 180 degrees. i’ll do #13 as an example: 13. 40 and 50 so if every triangle has 180 degrees 40+50= 90 degrees then180-90= 90 degrees so the third angle is 90 degrees and because this triangle has a 90 degree angle it means it is a right triangle