If these two shapes are similar, what is the measure of the missing length t?
t = __ millimeters
1 mm
5 mm
10 mm
20 mm
Question & Answer
If these two shapes are similar, what is the measure of the missing length t? t = __ millimeters
1 Answer
Verified archiveTo find the missing length ( t ) in similar shapes, we use the ratio of corresponding sides. If we know the ratio between the shapes, we can set up a proportion.
For example, if one shape has a side length of ( 1 , mm ) and the corresponding side of the similar shape measures ( 5 , mm ), the ratio is ( frac{1}{5} ). To find ( t ), we would set up a proportion based on the known lengths.
Assuming you have two known lengths and you know the ratio, you can set it up like this:
[
frac{text{Known Length}}{text{Corresponding Length}} = frac{t}{text{Other Corresponding Length}}
]
If you provide the lengths of the sides, I can help you calculate ( t ) step-by-step! Please, let me know what the corresponding lengths are.