Triangle C-B-A, right angled at B with the length of its height C-B as b, base B-A as a, and the hypotenuse A-C as c, has a perpendicular line B-D from vertex B to its hypotenuse A-C forming two right triangles B-D-C with its base as D-C of length e and right triangle C-D-B with its base as D-A of length d.

Question

Thomas is attempting to prove the Pythagorean Theorem using similar triangles. Which of the following could be Thomas's first ratio that he sets up?
A.


B.


C.


D.

Answer 1

C.