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|dw:1437404807627:dw| if they're similar and we call the other sides of the smaller triangle 'x' and 'y', what are the corresponding sides of the larger one. and how do their perimeters then compare?
Is the perimeter for the larger one 30 and the smaller one 15?
the question does not say that they are equilateral. you have made that assumption. are you sure you can do that?! are you sure you need to do that?! look at the drawing again...
I still don't get it. sorry
What Irish boy is saying is that if we change one side by a factor of 2 the perimeter also changes by a factor of 2, regardless of the length of the other sides.
from the sketch, if \( 5 \implies 10\) then \( x \implies ??\) and \( y \implies ??\) then add up and compare the perimeters
To get from 5 to 10 to have to multiply by 2 so each of the other sides needs to be multiplied by the same amount. Big one would be 10+2x+2y so the ratio would be 10+2x+2y/5+x+y
The perimeter is directly proportional to the scale factor so the length of the other two sides do not need to be known.
So the area is 4:1
and the perimeter is 2:1