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?

- anonymous

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- katieb

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- anonymous

##### 1 Attachment

- anonymous

Answer choices:
8
9
6.25
7.25

- anonymous

Please help.

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## More answers

- anonymous

it's 8

- anonymous

Are u completely sure

- anonymous

99.9%

- anonymous

Could you explain it

- anonymous

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

- anonymous

plug in numbers

- arindameducationusc

I am here...

- anonymous

but...

- arindameducationusc

Do you know pythagoras theorem?

- arindameducationusc

I can explain it

- anonymous

go ahead

- anonymous

Yeah I know the theorem

- anonymous

@arindameducationusc Do u think the answer is 8 too?

- arindameducationusc

In a right angled triangle, the |dw:1438011564224:dw|

- arindameducationusc

c^2=a^2+b^2

- arindameducationusc

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

- anonymous

Yeah.. I got it

- anonymous

3

- anonymous

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

- arindameducationusc

wait.... I am solving...

- anonymous

omg

- anonymous

sorry

- arindameducationusc

Nothing else is given in the question?

- anonymous

nope

- anonymous

why. what are u looking for

- arindameducationusc

okay ....wait....

- anonymous

...

- arindameducationusc

yes yes

- arindameducationusc

listen ....angle CAB= angle CAD

- arindameducationusc

try using this..... big help

- anonymous

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

- arindameducationusc

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

- arindameducationusc

angle CAB=angle ACD

- arindameducationusc

syntax error, sorry

- anonymous

ohhh

- anonymous

k

- anonymous

got it

- arindameducationusc

You got the answer?

- anonymous

no

- arindameducationusc

So, you got the axiom I guess?

- anonymous

what?

- anonymous

This is geometry

- anonymous

im sorry i dont know what that means

- arindameducationusc

Interior angles property?

- anonymous

so the answer is A?

- arindameducationusc

yes answer is A

- arindameducationusc

As both triangles are congruent.

- arindameducationusc

by AAS

- arindameducationusc

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

- anonymous

ok

- arindameducationusc

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

- anonymous

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

- anonymous

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

- arindameducationusc

Just click on Best Response Button.

- anonymous

oh

- arindameducationusc

ok take care

- anonymous

ok

- anonymous

thx

- anonymous

bye

- anonymous

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

- anonymous

@sanjurad

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