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

To find the missing length ( t ) in similar shapes, we can use the property that the ratios of corresponding sides are equal.

Given:

– One side of the first shape is 2 cm, and the corresponding side of the second shape is 12 cm.

– If ( t ) corresponds to the 6 cm side, we can set up the ratio:

[

frac{2}{12} = frac{t}{6}

]

Now, simplifying the left side:

[

frac{1}{6} = frac{t}{6}

]

Next, we can cross-multiply:

[

1 cdot 6 = 6 cdot t

]

So we have:

[

6 = 6t

]

Now, divide both sides by 6:

[

t = 1

]

Therefore, the measure of the missing length ( t ) is ( 1 ) cm.