Find the value of y in the figure below. Round to the nearest tenth.
http://cdn.activelms.com/data/042c73b1-ddf5-4fd6-91e7-6c8434228f3d/Geometry%20Images/unit%2012-4%20q7.png

Question

Find the value of y in the figure below. Round to the nearest tenth.
http://cdn.activelms.com/data/042c73b1-ddf5-4fd6-91e7-6c8434228f3d/Geometry%20Images/unit%2012-4%20q7.png

ellamoyseyuk · Answer

i think it 4.7, is that the correct answer?

evoker · Answer

What is y the distance from the intersection to the edge of the circle?

evoker · Answer

Also is the 9 a diameter?

ellamoyseyuk · Answer

no this is a therom 12.15 which is (y+z)y = t^2

ellamoyseyuk · Answer

(9+2)2=4.7^2

evoker · Answer

Well your algebra works, but i'm trying to find that formula.

mathstudent55 · Answer

|dw:1469671209208:dw|

mathstudent55 · Answer

$\large a(a + b) = c^2$

evoker · Answer

Ah nice I don't suppose this has a name, I'd like to research the theorem

ellamoyseyuk · Answer

For a given point and circle, the product of the lengths of the two segments from the point to the circle is constant along any line through the point and circle. that is the definition for the theorem

evoker · Answer

Ah ok thanks always like to learn

ellamoyseyuk · Answer

your welcome

mathstudent55 · Answer

Tangent-Secant Segment Length Theorem If a tangent segment and a secant segment are drawn to a circle from an external point, then the square of the length of the tangent equals the product of the length of the secant with the length of its external segment. Found in: http://web.cerritos.edu/dford/SitePages/Math_70_F13/CircleDefinitionsandTheorems.pdf