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Mathematics 19 Online
OpenStudy (anonymous):

If the triangles are similar, which ratio shows the relationship of the area of the larger triangle to the area of the smaller triangle?

OpenStudy (anonymous):

3:2 2:1 3:4 4:1

ganeshie8 (ganeshie8):

that link wont open without flvs account

ganeshie8 (ganeshie8):

take a screenshot and attach the pic if possible...

ganeshie8 (ganeshie8):

doesnt work. flvs links will not open for outsiders

OpenStudy (anonymous):

|dw:1371397841453:dw| i attempted drawing it if that helps

OpenStudy (anonymous):

i'm sorry its sloppy :/

ganeshie8 (ganeshie8):

its accurate enough :)

ganeshie8 (ganeshie8):

wats the ratio of sides ?

OpenStudy (anonymous):

thats the thing... I don't know :/

OpenStudy (anonymous):

and there isn't any other number there

ganeshie8 (ganeshie8):

|dw:1371398054922:dw|

ganeshie8 (ganeshie8):

those are the corresponding sides between those two similar triangles. ratio of sides = \(\large \frac{6}{3} = 2\)

ganeshie8 (ganeshie8):

so, sides are in ratio, 6 : 3 = 2 : 1

ganeshie8 (ganeshie8):

does that make sense, so far ha ?

OpenStudy (anonymous):

ok it does make a little sense. continue please?

ganeshie8 (ganeshie8):

then, use this :- For similar figures, if sides are in ratio \(a : b\), then area will be in ratio \(a^2 : b^2 \)

ganeshie8 (ganeshie8):

since here, the sides are in ratio \(2 : 1\), areas will be in ratio ?

OpenStudy (anonymous):

so would it be 4:1?

ganeshie8 (ganeshie8):

Yes !

ganeshie8 (ganeshie8):

all we did is this :- 1) take ratio of sides 2) square it

OpenStudy (anonymous):

oh my god thank you!!!!! i love you oh my goodness.

ganeshie8 (ganeshie8):

lol you're wlcme :)

OpenStudy (anonymous):

so it would be the last answer right?

ganeshie8 (ganeshie8):

Yes

OpenStudy (anonymous):

you are math guru. thank you so much.

ganeshie8 (ganeshie8):

ah no... but thanks anyways lol :D

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