If triangle ABC is similar to DEF, then the corresponding sides of the triangles are proportional.
In this case, we have BC = 36 and EF = 6.
We can set up a proportion:
BC/EF = AB/DE
36/6 = AB/DE
6 = AB/DE
To find AB, we need to find DE.
Since the triangles are similar, we know that their corresponding sides are proportional.
So, DE = BC * (EF/BC) = 36 * (6/36) = 6.
Now we can substitute this value into our proportion:
6 = AB/6
To solve for AB, we can cross-multiply:
AB = 6 * 6 = <<6*6=36>>36.
Therefore, the measure of AB is 36.
If triangle ABC Is similar to DEF and BC =36, EF=6, what is the measure of AB?
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