Question

Find the value of p in the figure below.

Answer 1

@SolomonZelman

Answer 2

CW: Have you thought about which principles apply to solving this problem?
Do your numerals represent lengths or do they represent angles?
Are those lines you've drawn diameters or not diameters?
Your answers may make it easier to approach this problem solving.

Answer 3

those lines are intersecting chords. i dont know how to answer the rest im really new to this part of geometry

Answer 4

\[4+4.5=6+(2p-3)\]

Answer 5

p=?

Answer 6

i think i found the answer. using thease steps. is this correct?
4.5*4=6(2p-3)
18=6(2p-3)
18=12p-18
36=12p
3=p

Answer 7

It's been years and years, over 50! since I last worked with chords (if ever). So I did an Internet search for "intersecting chords" and came up with the following:

https://www.google.com/search?q=intersecting+chords&rlz=1C1CHFX_enUS461US461&oq=intersecting+chords&aqs=chrome..69i57j0l5.3244j0j7&sourceid=chrome&espv=210&es_sm=122&ie=UTF-8

Would you check that out quickly, please?

What I learned immediately was that there is an Intersecting Chord Theorem, which states, "When two chords intersect each other inside a circle, the products of their segments are equal."

Is this enough info to lead you to a solution?

Answer 8

It does seem that you've applied the Intersecting Chord Theorem correctly. I believe your answer is right. Congrats.

Answer 9

Thank you :)