Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

100 points for whoever can prove this geometry problem!!!! PLS HELP ME!!!!!!

100 Points For Whoever Can Prove This Geometry Problem PLS HELP ME class=

Sagot :

Answer:

Let the chord- part of VC inside smaller circle be a, and same of CU be b.

According to intersecting secants theorem we have:

  • CI * (CI + a) = CJ * (CJ + b)

and

  • VC *(CI + a) = CU * (CJ + b)

From the second equation we get:

  • CU = VC * (CI + a) / (CJ + b)

From the first equation we get:

  • CI + a = CJ * (CJ + b) / CI,

substitute this into the second equation:

  • CU = VC * CJ * (CJ + b) / CI * 1/ (CJ + b)
  • CU = VC * CJ / CI
  • CU * CI = VC * CJ

Proved