Question

plz help

Answer 1

What is the length, in units, of segment CD?

6
8.5
7
9.8

Answer 2

@lvana

Answer 3

are you familiar with trigonometry?

Answer 4

no this is geometry

Answer 5

oh its easy using trig..
I cant see a way to do it with geometry.
Maybe I'm slow today...

Answer 6

how?

Answer 7

@Lexi_Loves

Answer 8

Its easy to find the length of BC by using Pythagoras.

BC^2 = 7^2 - 5^2

Answer 9

ah yes
use similar triangles
triangle ADB and CDA are similar
so corresponding sides are in the same ratio.

Answer 10

so
5/7 = 7 / CD

solve this for CD

Answer 11

the triangles are similar because <BAC = < ACD ( internal altrnate angles) , and we have 2 right angles so all angles are equal , therefore the triangles are similar.

Answer 12

5/7 = 7 / CD therefore

CD = 7^2 / 5 = 49/5

Answer 13

use your calculator to work out 49 divided by 5 and you have the answer

Answer 14

* triangles ABC and CDA are similar