Question

please help! http://puu.sh/nE21b/15e54719c2.png

Answer 1

solve using similar triangles

Answer 2

triangles ADC and CDB are similar

Answer 3

\[\text{BD}=8 \cot \left(\frac{\pi }{2}-\tan ^{-1}\left(\frac{8}{16}\right)\right)=4 \]

Answer 4

for 19. do you know the altitude theorem from a right angle on hypotenuse equal ?
this is the best easy way to calculi the length of BD

hope this will help you

Answer 5

For #19, apply this theorem:

Theorem: If the altitude is drawn to the hypotenuse of a right triangle, the length of the altitude is the geometric mean between the lengths of the segments of the hypotenuse.

Answer 6

16/8 = 8/x where x = the length of segment BD. @anarchy85