What is the length of diameter RT below?

Question

anonymous · Answer

attachment

anonymous · Answer

@phi

phi · Answer

I think the product of the segments are equal to each other. See http://www.mathwarehouse.com/geometry/circle/product-segments-chords.php can you write down the equation you get if you use this theorem?

anonymous · Answer

no, i still don't get it

phi · Answer

Did you look at the site?  what does it show?
It shows two lines (chords) crossing.

it labels the parts of the chords  A,B,C and D

can you match that picture with your problem ?

anonymous · Answer

okay so for my problem, i'd be multiplying $$R \times T \times S \times U$$ ?

anonymous · Answer

i mean = S x U

phi · Answer

look at the site more closely.  the A,B,C,D are the lengths of the 2 parts of each chord.
Read the write up of the theorem. They are trying to explain it.

anonymous · Answer

i got 11

anonymous · Answer

@phi

phi · Answer

I did not work out the answer.  Can you write down how you use the theorem for your problem?

anonymous · Answer

$$RV \times VT = SV \times VU$$

phi · Answer

yes, but put in the numbers.  (you know 3 of them)

anonymous · Answer

$$RV \times 3= 6 \times 4$$

phi · Answer

ok,  and if you simplify you get
3 * RV= 24
divide both sides by 3
RV= 24/3
RV=8

the diameter is RV+VT= 8+3= 11
good job.

anonymous · Answer

thank you!!