Question
If triangle ABC Is similar to DEF and BC =36, EF=6, what is the measure of AB?
Answers
GPT 3.5
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.
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.