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.
Keith is attempting to prove the Pythagorean Theorem by using similar triangles. After Keith has set up the appropriate ratios and solved, he ended up with two equations:
What must Keith do next in order to complete the proof?
A.
Subtract the two equations.
B.
Multiply the two equations.
C.
Add the two equations.
D.
Divide the two equations.