geometry
posted by Colleen on .
In right triangle ABC, measure of angle ACB= 90 and segment CD is the altitude to the hypotneuse AB. Ad= 6 cm and BD= 4 cm. Find the length of segment CD to the nearest hundredth.

The two little triangles are similar to the big one because they are all right triangles sharing one angle so sharing all angles (sum is 180)
A = CAD = BCD
B = CBD = ACD
CD/6 = 4/CD similar triangles
CD^2 = 4*6
CD = 2 sqrt 6