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- anonymous

Find the length of AD if AB = 24, DE = 8, and DC = 12.
A.) 8
B.) 10
C.) 12
D.) 14

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- anonymous

Find the length of AD if AB = 24, DE = 8, and DC = 12.
A.) 8
B.) 10
C.) 12
D.) 14

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- anonymous

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- anonymous

- anonymous

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- Vocaloid

|dw:1435241349253:dw|

- Vocaloid

alright, we can see from the drawing that AE + FB + DC = 24, which is the length of the bottom, right?
first off, we need to find the length of AE
from the diagram we can see that AE and FB are equal, so our equation becomes
2*(AE) + DC = 24
DC = 12, so
2*(AE) + 12 = 24
2*(AE) = 12
AE = 6, but we're not done yet

- Vocaloid

|dw:1435241533688:dw|

- Vocaloid

according to the Pythagorean theorem,
C^2 = 8^2 + 6^2
solve for C

- anonymous

ok what ur going to do is think a+b but you are left with de and dc but you have to think what would u do? add subtract what i was thinking to subtract the AB to the DC so what ur going to do is 24-12=12 so i was thinking 8 is not a answer cause what would u do with 8? 12-8-=4 so ur answer is C for the remainder of 8 so C=12 is ur answer

- Vocaloid

previous answer is incorrect

- anonymous

what are u just trying to show that ur smarter ok its wrong i know ur helping but you cant derecctly say its wrong with NO provf so why are u sayin its c what are u even doing? no offense i wouldn't let u help

- Vocaloid

C^2 = 8^2 + 6^2
C is clearly 10, not 12...

- anonymous

umm its says rigt there C=12 B is 10

- Vocaloid

C^2 = 8^2 + 6^2 = 64 + 36 = 100
C^2 = 100
C = 10

- Vocaloid

Oh, I see what you mean, what I meant was that C in my diagram was 12, not the answer choice C

- anonymous

oh its ok

- Vocaloid

|dw:1435242357172:dw|

- Vocaloid

anyway, the final answer should be 10 (B)

- Vocaloid

sorry for the confusion, I should have picked a different variable name, like x

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