SOLUTION: The perimeter of two similar triangles are 15 and 20. If the length of a side of the larger triangle is 4. Find the length of the corresponding side of the smaller triangle.

Algebra ->  Triangles -> SOLUTION: The perimeter of two similar triangles are 15 and 20. If the length of a side of the larger triangle is 4. Find the length of the corresponding side of the smaller triangle.      Log On


   

Question 840120: The perimeter of two similar triangles are 15 and 20. If the length of a side of the larger triangle is 4. Find the length of the corresponding side of the smaller triangle.
Found 2 solutions by ewatrrr, stanbon:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Note: Perimeters of similar triangles: 

Perimeters of similar triangles are in the same ratio as their corresponding 

 sides and this ratio is called the scale factor.



If the length of a side of the larger triangle is 4. 

Find the length highlight_green%28x%29

of the corresponding side of the smaller triangle.

15%2F20+=+x%2F4        | Cross Multiplying to solve 

 60 = 20x

highlight_green%28x=3%29

Wish You the Best in your Studies.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The perimeter of two similar triangles are 15 and 20. If the length of a side of the larger triangle is 4. Find the length of the corresponding side of the smaller triangle.
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Use a proportion:
smaller/larger = smaller/larger
x/4 = 15/20
x = 4(3/4)
x = 3
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Cheers,
Stan H.
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