Use a proportion to find the missing side length in the following similar figures.
Both are triangles one is small and the other is bigger. The small is 4m and 2m the big one is 9m and you have to solve for x on it.
A. x=4.5 m
B. x=18 m
C. x=8 m
D. x=2.25 m
Not sure?
well you do not show it but perhaps
4/2 = 9/x
in which case x = 4.5
but I do not know what your triangles look like
if the corresponding sides are not as I assumed then the right answer could be 18
Its a right triangle and the bottom of the small one is 4 m and on the side is 2 m and then the bottom of the big one is 9 m and the side is a x?
ok
BOTTOM/SIDE = bottom/side
9/x = 4/2
which happens to be what we did.
Thanks so much :)
You are welcome.
To find the missing side length (x) in this problem, we can set up a proportion between the corresponding sides of the two similar triangles.
The proportion of corresponding sides can be written as:
small triangle side / big triangle side = small triangle side / big triangle side
Plugging in the given measurements, we have:
4m / 9m = 2m / x
To solve for x, we can cross-multiply:
4m * x = 9m * 2m
4x = 18m^2
Now, divide both sides by 4 to solve for x:
x = 18m^2 / 4
x = 4.5m
Therefore, the missing side length (x) is equal to 4.5m.
The correct answer is A. x=4.5 m.