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Mathematics 7 Online
OpenStudy (ashleyisakitty):

Which theorem or postulate proves the two triangles are similar?

OpenStudy (ashleyisakitty):

OpenStudy (anonymous):

The two triangles clearly share at least one angle (the one at the top). They also are not congruent, since they have different side lengths. Using what we've talked about above, the lower right hand angle is equal in both. Since all 3 angles add up to 180, that means all three angles are euqal in the two triangles. That means AAA is correct. Technically, you do not have the correct answer listed, unless you extrapolate from AA to AAA.

OpenStudy (anonymous):

This is same as previous question. I will suggest you try this one I am not sure you can conclude this with AAA

OpenStudy (ashleyisakitty):

@thisSucks what should i do exactly?

OpenStudy (anonymous):

Thanx @Ashleyisakitty

OpenStudy (anonymous):

|dw:1379965640858:dw|

OpenStudy (anonymous):

We will check if ADC is similar to ABC Now you can see angle A is same for both the triangles. and we are given sides of the triangles. So we will check if SAS holds true here

OpenStudy (anonymous):

you know how to check for SAS here?

ganeshie8 (ganeshie8):

before SAS, SSS strikes first here, cuz we're given all sides explicitly

OpenStudy (anonymous):

Yeah actually @ganeshie8 is right we can try SSS first

ganeshie8 (ganeshie8):

still it doesnt matter, cuz they dont look similar to meh... plz work it and see :)

OpenStudy (ashleyisakitty):

How do you check for SSS or SAS? :/

OpenStudy (anonymous):

find the ratio of all the sides For trianle to be equal AB/AD=AC/AE=BC/DE

OpenStudy (anonymous):

sorry similar not equal my bad

OpenStudy (ashleyisakitty):

AB/AD like A*B/A*D right?

ganeshie8 (ganeshie8):

I bet you're wonderful in algebra :) In geometry, AB means 'segment AB'

OpenStudy (anonymous):

No AB = lenght of side AB in the triangle ABC which is 14+7

ganeshie8 (ganeshie8):

|dw:1379966183479:dw|

ganeshie8 (ganeshie8):

thats AB

OpenStudy (ashleyisakitty):

21/14=12/8=12/6

ganeshie8 (ganeshie8):

perfect ! check if all 3 ratios give the same number

ganeshie8 (ganeshie8):

21/14 = ? 12/8 = ? 12/6 = ?

ganeshie8 (ganeshie8):

if you get all those 3 ratios same, triangles are similar by SSS. if not, they're not similar

OpenStudy (ashleyisakitty):

21/14 = 1.5 12/8 = 1.5 12/6 = 2 So they arent similar.

ganeshie8 (ganeshie8):

good job !!

OpenStudy (anonymous):

YES!

OpenStudy (ashleyisakitty):

so.. that means? :x

OpenStudy (anonymous):

Some issue with the question text..LOL these two triangles are not similar that we have already proved

OpenStudy (ashleyisakitty):

but... the question insists that they are similar! I can choose from: AA postulate AS postulate SSA postulate SSS postulate

ganeshie8 (ganeshie8):

question is wrong, maybe work wid ur teacher :|

ganeshie8 (ganeshie8):

Also, in ur original diagram, u have weird dimensions

ganeshie8 (ganeshie8):

|dw:1379966710848:dw|

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