Question

Look at the figure below:

Triangle ABC is a right triangle with angle ABC equal to 90 degrees. The length of AC is 5 units and the length of AB is 4 units. D is a point above C. Triangle ADC is a right triangle with angle DAC equal to 90 degrees and DC parallel to AB.

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

Answer 1

Answer choices:
8
9
6.25
7.25

Answer 2

Please help.

Answer 3

it's 8

Answer 4

Are u completely sure

Answer 5

99.9%

Answer 6

Could you explain it

Answer 7

https://www.google.com/search?q=pythagorean+theorem+calculator&ie=utf-8&oe=utf-8#q=pythagorean%20theorem%20calc%3A%20find%20a%2C%20b%3D5%2C%20c%3Dn%2Fa&skip=s

Answer 8

plug in numbers

Answer 9

I am here...

Answer 10

but...

Answer 11

Do you know pythagoras theorem?

Answer 12

I can explain it

Answer 13

go ahead

Answer 14

Yeah I know the theorem

Answer 15

@arindameducationusc Do u think the answer is 8 too?

Answer 16

In a right angled triangle, the

Answer 17

c^2=a^2+b^2

Answer 18

This is the pythagoras theorem.... By this first you find BC

Answer 19

Yeah.. I got it

Answer 20

3

Answer 21

Yeah I figured that was 3 in the beginning ... sorry I forgot to tell u

Answer 22

wait.... I am solving...

Answer 23

omg

Answer 24

sorry

Answer 25

Nothing else is given in the question?

Answer 26

nope

Answer 27

why. what are u looking for

Answer 28

okay ....wait....

Answer 29

...

Answer 30

yes yes

Answer 31

listen ....angle CAB= angle CAD

Answer 32

try using this..... big help

Answer 33

How is that even possible... And could yo please let me know what your final answer was. THnak u soo much

Answer 34

in two parallel lines, a third line when it intersects, the interior opposite angle is equal....
After I solve I will let you know... but even you can try with me

Answer 35

angle CAB=angle ACD

Answer 36

syntax error, sorry

Answer 37

ohhh

Answer 38

k

Answer 39

got it

Answer 40

You got the answer?

Answer 41

no

Answer 42

So, you got the axiom I guess?

Answer 43

what?

Answer 44

This is geometry

Answer 45

im sorry i dont know what that means

Answer 46

Interior angles property?

Answer 47

so the answer is A?

Answer 48

yes answer is A

Answer 49

As both triangles are congruent.

Answer 50

by AAS

Answer 51

and DC has to be a multiple of 4. Got it?

Answer 52

ok

Answer 53

Thanks for the problem, it made my mind refreshed..!!

Answer 54

Got it... thank u soo much for helping me (I would give medal but I dont know how to)

Answer 55

If u want medal tell me how to give it to u (if I can)

Answer 56

Just click on Best Response Button.

Answer 57

oh

Answer 58

ok take care

Answer 59

ok

Answer 60

thx

Answer 61

bye

Answer 62

wow i even said it was A but u didnt believe me

Answer 63

@sanjurad