SOLUTION: two similar triangles have corresponding side links measuring 12 feet in 18 feet. if the area of the larger triangle is 36 ft.² find the area of the smaller triangle .

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Question 1071211: two similar triangles have corresponding side links measuring 12 feet in 18 feet. if the area of the larger triangle is 36 ft.² find the area of the smaller triangle .
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The sides of the smaller triangle are 12%2F18=2%2F3 as long
as the corresponding sides of the larger triangle.
When similar shapes have corresponding length different by a factor k ,
the surface areas are different by a factor k%5E2 .
It does not matter if the shapes are squares, triangles circles, or odd shapes,
as long as they are the same scrape scaled up of down by a factor k .
So, the area of the small triangle is %282%2F3%29%5E2=4%2F9
of the area of the large triangle.
The area of the small triangle is %284%2F9%29%2A%2836ft%5E2%29=highlight%2816ft%5E2%29 .