Posted by **aYaMe ;)** on Tuesday, May 15, 2012 at 9:50am.

segment BC is tangent to circle A at B

and to circle D at C. (Not drawn to scale) AB=10 BC=25 and DC=3. Find AD to the nearest tenth. Hint: Draw an auxiliary line from D to segment BA.

{There are two circles, the larger one has point A in the center and a dotted line going up to the top of the circle which goes to point B at the top of the circle. There is a diagonal line to the top of the smaller circle. The point at the top of the smaller circle is point C, and the center of that circle is D}

26

28.2

25.2

26.9

I'm sorry I can't get a picture linked, but I hope the description should help. I really appreciate your help! THank you!

- GEOMETRY INSCRIBED ANGLES MULTIPLE CHOICE QUESTION -
**Reiny**, Tuesday, May 15, 2012 at 10:19am
I think I got the diagram done.

Following their hint to draw a line from D to AB ....

draw the line to hit AB at 90° at a point E.

We know that in a circle, the radius meets the tangent at 90°, so the angles at B and C are each 90°

so BEDC is a rectangle, making ED = 25

So triangle ADE is right-angled , with AD the hypotenuse and AE = 7

AD^2 = 25^2 + 7^2 = 674

AD =√674 = appr 25.96

So what do you think is the correct choice?

- GEOMETRY INSCRIBED ANGLES MULTIPLE CHOICE QUESTION -
**aYaMe ;)**, Tuesday, May 15, 2012 at 10:25am
Thank you so much! :D

## Answer this Question

## Related Questions

- GEOMETRY INSCRIBED ANGLES MULTIPLE CHOICE QUESTION - Find the value of x. If ...
- Geometry Inscribed - line BC is tangent to circle A at B and to circle D at C (...
- Geometry Multiple Choice Question Please Help! - Find the value of x. If ...
- geometry - In the diagram, circle A is tangent to circle C, and segment BE is ...
- GEOMETRY CIRCLE - 1.An isosceles triangle with each leg measuring 13 cm is ...
- GEOMETRY CIRCLES PLEASE - 1.An isosceles triangle with each leg measuring 13 cm ...
- geometry - m<S=30, m(arc)RS=84,and RU is tangent to the circle at R find m<...
- GEOMETRY CIRCLES PLEASE - HELP ME PLEASE. 1.An isosceles triangle with each leg...
- Geometry-properties of tangents of a circle - Circle L has segment LJ and ...
- gEoMeTrY iNsCrIbEd AnGlEs MuLtIpLe ChOiCe QuEsTiOn - A satellite, B, is 17,000 ...