Question

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

Answer 1

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