Question

PLS HELPPPPP
In the diagram below of right triangle ACB, altitude intersects at D. If AD = 3 and DB = 4, find the length of in simplest radical form.

http://www.castlelearning.com/review/Courses/geometry/q4291.GIF?v=20090203124953

1. r12
2. 2r3
3. 3r2
4. 4r3

* r is the radical sign

Answer 1

Find the length of what?

Answer 2

CD

Answer 3

You mean length of altitude, CD?
If so, it's the geometric mean of the two segments of the large hypotenuse, AB
AD/CD = CD/DB
(CD)^2 = (AD)(DB)
CD = sqrt( (AD)(DB) )
CD = sqrt(3 * 4)
CD = sqrt(12)
CD = 2sqrt(3)