Question

someone please help asap. WILL GIVE MEDAL AND FAN!

Answer 1

Give me a sec to post the question

Answer 2

@mathslover @camerondoherty @mathbrain77 @SolomonZelman

Answer 3

lets exclude 2 options, knwoing that there is only the "SAS Similarity theory" exists, and nothing the "AA Similarity theory" does NOT exist.

Answer 4

ok

Answer 5

"SAS Similarity theory" exists.
"AA Similarity theory" does NOT exist.

which answer choices do you exclude?

Answer 6

the 3rd and 4th choices

Answer 7

yes, there you go

Answer 8

oh okay, but why exclude the AA similarity theorem?

Answer 9

and could the answer be the second option?

Answer 10

because if 2 angles are similar (in 2 triangles) that doesn't necessarily make them equal.

Answer 11

oh okay

Answer 12

wait now, the imilarity theorem does exist.

Answer 13

similarity, does exist, but the congruence isn't there. Sorry.

Answer 14

the triangles are proportional by AA similarity theorem, so lets no exclude C and D

Answer 15

you are proving that: Okay, you are proving that \(\large\color{black}{ ~ {\rm BC}^2= {\rm AB}^2+{\rm AC}^2 }\)

Answer 16

so you want to prove that it is just a right triangle, not that they are equal.

Answer 17

right

Answer 18

the SAS similarity theorem is not applicable, because any of the smaller triangles is NOT equivalent to the entire, big, triangle.

Answer 19

SAS would be showing congruence, which is not true here

Answer 20

would choices a and c be excluded because triangle ADC is a right triangle, but triangle BAC isn't?

Answer 21

so instead of excluding C and D, we actually come to that it is only C or D. (exclude A and B)

yes A and B are not there...

Answer 22

so could the answer be choice d?

Answer 23

@SolomonZelman ?

Answer 24

now, you have to prove, again \(\large\color{black}{ ~ {\rm BC}^2= {\rm AB}^2+{\rm AC}^2 }\) that means that you are proving a similarity of the smaller of the triangles to the biggershape.

Answer 25

I have to depart to calculate something for the business. sorry

Answer 26

i HAD, not have. I am back.

Answer 27

okay, well thanks for your help!

Answer 28

oh ok

Answer 29

it is C.
becuase you are proving that the big shape is similar to one of the smaller ones.

Answer 30

D would be just proving how the smaller inner triangles are similar, and we don't need that

Answer 31

I think I understand it now. Thanks!