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Mathematics 12 Online
OpenStudy (anonymous):

Are the two triangles similar? If so, how do you know?

OpenStudy (anonymous):

OpenStudy (anonymous):

i think its D. am I correct?

OpenStudy (anonymous):

D is correct. they aren't similar.

OpenStudy (saifoo.khan):

I say no.

OpenStudy (saifoo.khan):

@JUICEDECAFE How?

OpenStudy (cwrw238):

they are similar

OpenStudy (anonymous):

If they are then explain because i don't see how

OpenStudy (anonymous):

did you look at the picture?

OpenStudy (anonymous):

?

OpenStudy (cwrw238):

if triangles are similar then corresponding sides are in the same ratio take the longest sides: 12 / 8 = 1.5 and the other pairs of sides 7.5 / 5 = 1.5 7.5 / 5 = 1.5 so they are similar

OpenStudy (saifoo.khan):

^

OpenStudy (anonymous):

did you look at the picture?

OpenStudy (anonymous):

i'm so confused now.

OpenStudy (cwrw238):

yes

OpenStudy (cwrw238):

they are similar - though i must admit i'm a little confused with the reasons

OpenStudy (anonymous):

My opinion is D.

OpenStudy (anonymous):

and yours opinion is different

OpenStudy (cwrw238):

similar triangles are the same shape but different size. also corresponding angles are equal

OpenStudy (cwrw238):

i'm afraid your opinion is wrong, juice...

OpenStudy (anonymous):

My opinion is right. And i don't have time for arguing :) so Have a Wonderful Day!

OpenStudy (cwrw238):

you too

OpenStudy (anonymous):

i have no idea if i'm right or wrong. i'm so lost now

OpenStudy (saifoo.khan):

I still think it's still A.

OpenStudy (cwrw238):

SSS?

OpenStudy (saifoo.khan):

Yes. Am i wrong? Im not 100% sure.

OpenStudy (cwrw238):

i've only seen SSS with respect to congruent triangles - but as we've shown that sides are in same ratio then SSS makes sense , i suppose

OpenStudy (cwrw238):

i'm same as you - not completely sure

OpenStudy (mathstudent55):

@vivianrush @cwrw238 is correct The correct answer is A. This way of proving triangles similar is called SSS Similarity. If you show that the lengths of three sides of one triangle are proportional to the lengths of the sides of another triangle, then the triangles are similar. This is one of three ways of proving triangles similar. The others are AA, and SAS Similarity. AA is: if two angles of one triangle are congruent to two angles of another triangle, the triangles are similar. SAS Similarity is: if the lengths of two sides of a triangle are proportional to the lengths of two sides of another triangle, and the included angle of one triangle is congruent to the included angle of the other triangle, then the triangles are similar.

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