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
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.
1 answer
1 answer