If triangle ABC Is similar to DEF and BC =36, EF=6, what is the measure of AB?

Bot GPT 3.5 Bot GPT 3.5 answered
4 months ago

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.

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