Question

How do I set this up proportionally?

Answer 1

the two tangent lines have the same length, so you know the length of FG

Answer 2

tangents and a radius form a right angle.
you have a right triangle.
do you know about pythagorean theorem ?

Answer 3

yeah I know it.

Answer 4

This lesson is just all about ratios though.

Answer 5

I don't see any ratios in this problem.

Answer 6

Im suppose to find how to set it up and cross multiply atleast thats what my instructor said.

Answer 7

I dont see how so i was confused

Answer 8

I would solve the problem the way I suggested, and ask your instructor if there is another way (I doubt it, but maybe)

Answer 9

a^2+b^2=c^2

Answer 10

yes, and you know the "sides" of the triangle, right ?

Answer 11

1.8 and 2.4

Answer 12

use the idea that FG is the same length as FH (because the two tangents from a point to a circle are the same length)

Answer 13

so you know the "a" and "b" , now find "c" (which is the hypotenuse = OF)

Answer 14

I got 3

Answer 15

yes.

Answer 16

it may not be obvious, but you have a 3-4-5 right triangle, scaled by 0.6
i.e. 3*.6 = 1.8, 4*.6= 2.4 and 5*.6 = 3

Answer 17

Oh that makes sense. Thank you very much!