How can the Pythagorean Theorem be proved using a mean proportional in a 2-column format?

Related questions

• A gymnast performs a tumbling run along the diagonal of a square mat with sides that are 35 feet...
• Given a right triangle ABC with right angle at C, if a is 4 and c is 8, what is b?
• Why can the Pythagorean Theorem only be used with Right Triangles?
• In what year was the Pythagorean Theorem developed?
• Who developed the Pythagorean Theorem?
• What is the difference between the Pythagorean Theorem and Pythagorean Triples?
• Given right triangle ABC, with right angle at C, if b = 8 and c = 17, using the Pythagorean...
• Using the Pythagorean Theorem, is a triangle with sides abc a right triangle? #a=12, b=9, c=15#
• In a right triangle where c is the hypotenuse, a = 13, b = 18, what is c?
• What was the original proof that Pythagoras himself used to prove his theorem?