1. ## similar triangles...

ok im not sure why i keep getting the answer an 3 to this problem, im hoping someone can show me where im going wrong....

ok so here goes...

we have a triangle ABC, where AB = 6 and AD = 3. what is the length of CD?
before i go on, BD is a perpendicular bisector to AC.

so anyways i found the length of BD to be 5. now im not sure where to go from here...i tried to use triangles ABD and BDC but this isnt right...

2. ## Re: similar triangles...

How did you get BD = 5?

3. ## Re: similar triangles...

ok in the triangle ABD, AB is 6 and the hypotenuse side where AD is the base and equal to 3, so i used Pythagorean theorem to solve for BD which is the height of the triangle

4. ## Re: similar triangles...

Or $\displaystyle \sqrt{27}$ to be exact, as BD is a perpendicular bisector then DC = AD, this should help.