Question & Answer

If these two shapes are similar, what is the measure of the missing length t? t = __ millimeters

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

1 Answer

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Quizzma TeamFebruary 21, 2025

To 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.