Justin is using the figure shown below to prove Pythagorean Theorem using triangle similarity.

In the given triangle ABC, angle A is 90o and segment AD is perpendicular to segment BC.

Which of these could be a step to prove that BC2= BA2 + CA2?

Question

Justin is using the figure shown below to prove Pythagorean Theorem using triangle similarity. 

In the given triangle ABC, angle A is 90o and segment AD is perpendicular to segment BC.


Which of these could be a step to prove that BC2= BA2 + CA2?

anonymous · Answer

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anonymous · Answer

a Segment AD : segment CD = segment BD : segment AD,  since triangle ADB is similar to triangle CDA.
	      b Segment BD : segment BA = segment BA : segment CA,  since triangle ADB is similar to triangle CDA.
	      c Segment BC : segment BA = segment BA : segment BD,  since triangle BCA is similar to triangle BAD.
	       d Segment BA : segment DA = segment AC : segment BA,  since triangle BCA is similar to triangle BAD.

anonymous · Answer

I think its b? could this be true?