If these two shapes are similar, what is the measure of the missing length t?
2 cm
t =
12 cm
6 cm
If these two shapes are similar, what is the measure of the missing length t?
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If these two shapes are similar, what is the measure of the missing length t?
2 cm
t =
12 cm
6 cm
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.