Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

devibabyy66

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?

  • one year ago
  • one year ago

  • This Question is Closed
  1. devibabyy66
    Best Response
    You've already chosen the best response.
    Medals 0

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

    • one year ago
    1 Attachment
  2. cwrw238
    Best Response
    You've already chosen the best response.
    Medals 2

    hint - wo similar triangles are BCA and BAD

    • one year ago
  3. devibabyy66
    Best Response
    You've already chosen the best response.
    Medals 0

    is it D?

    • one year ago
  4. cwrw238
    Best Response
    You've already chosen the best response.
    Medals 2

    hmm ill check

    • one year ago
  5. cwrw238
    Best Response
    You've already chosen the best response.
    Medals 2

    yes - remember the corresponding sides are opposite the equal angles

    • one year ago
  6. devibabyy66
    Best Response
    You've already chosen the best response.
    Medals 0

    thank you thank you!!

    • one year ago
  7. cwrw238
    Best Response
    You've already chosen the best response.
    Medals 2

    yw

    • one year ago
  8. jim_thompson5910
    Best Response
    You've already chosen the best response.
    Medals 0

    I think it's A (not sure 100%), here's why Notice how AD are the first two points in ADB while CD are the first two points in CDA. Keep this relationship/pattern in mind. This is the left side of the equation in part A, which is Segment AD : segment CD The right side is segment BD : segment AD Notice how BD and AD correspond to the same parts of ADB and CDA (you start with the last letter and you read backwards) So this is why I think Segment AD : segment CD = segment BD : segment AD, since triangle ADB is similar to triangle CDA. is true

    • one year ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.