SOLUTION: Two triangles are similar.The length of a side of one of the triangles is 2 times that of corresponding sides of the other the area of the smaller triangle is 25cm².find the area o
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Question 1105922: Two triangles are similar.The length of a side of one of the triangles is 2 times that of corresponding sides of the other the area of the smaller triangle is 25cm².find the area of the larger triangle.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
As you scale up a 2-dimensional shape by a factor of ,
the area gets larger by a factor of .
(It works that way for all shapes you are scaling up or down by any factor ,
to turn them into similar larger or smaller figures.
For 3-dimensional shapes, when you scale up or down by a factor ,
all corresponding surface areas change by a factor ,
and the volume changes by ).
So, if the smaller figure has an area of ,
the area of a similar figure with corresponding sides times longer is
.
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