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

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.� find the area of the smaller triangle .
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The sides of the smaller triangle are as long
as the corresponding sides of the larger triangle.
When similar shapes have corresponding length different by a factor ,
the surface areas are different by a factor .
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 .
So, the area of the small triangle is
of the area of the large triangle.
The area of the small triangle is .
RELATED QUESTIONS
a side of one of two similar triangles is four times as long as the corresponding side of (answered by Cromlix)

The ratio of similitude in two similar triangles is 5:1. If a side in the larger triangle (answered by stanbon)

If the ratio of the lengths of corresponding sides of two similar triangles is 2 : 3, and (answered by Alan3354)

a) The areas of two similar triangles are 120 m sq., and 30 m sq. If one side of the... (answered by josgarithmetic)

a) The ratio of similitude of two similar triangles is 3:4. If the perimeter of the... (answered by Boreal)

The perimeter of two similar triangles are 15 and 20. If the length of a side of the... (answered by ewatrrr,stanbon)

The areas of two similar triangles are 144 and 81. If the base of the larger Triangle... (answered by KMST)

Fundamental Ideas Points, Lines, and Planes Postulates and Theorems Segments,... (answered by richard1234)

The ratios of the perimeters of two similar triangles is 1:3. If the length of a side of... (answered by stanbon)