Question

Question in comments

Answer 1

@jim_thompson5910

Answer 2

how long is segment AD?

Answer 3

hint:
DC = 4
AC = 20

AD+DC = AC

Answer 4

16?

Answer 5

yes

Answer 6

The triangles are similar, so we can form this ratio
\[\Large \frac{AD}{BD} = \frac{BD}{DC}\]
\[\Large \frac{16}{h} = \frac{h}{4}\]
Cross multiply then solve for h

Answer 7

h=8?

Answer 8

yep

Answer 9

So the answer would be 8?

Answer 10

@jim_thompson5910 How do you do this one?

Answer 11

Using a similar idea, we can say
\[\Large \frac{DC}{AC} = \frac{AC}{BC}\]
\[\Large \frac{x}{15} = \frac{15}{20}\]
Cross multiply then solve for x

Answer 12

x = 45/4

Answer 13

correct

Answer 14

Is this correct?

Answer 15

It's not correct. Set up the following ratio (or something similar)
\[\Large \frac{DC}{AD} = \frac{AD}{BD}\]
\[\Large \frac{10}{x} = \frac{x}{3}\]
Cross multiply then solve for x

Answer 16

Then it would be square root of 30

Answer 17

correct