Question

What is the length, in units, of segment CD? (Picture posted as reply)

Answer 1

I don't understand... :/

Answer 2

Help please!

Answer 3

if you can prove similarity in the triangles the the ratios of the corresponding sides will be equal...

similiarity

Angle ABC = angle DAC ( both right angles)

Angle BAC = angle ACD ( interior alternate angles in parallel lines

Therefore Triangle ABC is similar to triangle DAC by Angle Angle Test


now match the corresponding sides of the similar triangles

Triangle ABC Triangle DAC
AC = 7 DC

AB = 4 AC = 7

in similar triangles the ratio of corresponding sides are equal

then \[\frac{7}{4} = \frac{DC}{7}\]

solve for DC

\[DC = \frac{49}{4}\]

Answer 4

it would be nice if I could just get a simple answer because I'm running out of time to complete the assignment

Answer 5

well simplify 49/4

Answer 6

12.25

Answer 7

is that the answer??

Answer 8

well its seems to work...

Answer 9

i wanna ask , 7/4=DC/7 not DC/AD why ?

Answer 10

Hmm, I'm thinking they are looking for a whole number

Answer 11

match the corresponding angles... is the 1st task before matching sides

Answer 12

in my my mind it should be something like this