Use the image to answer the question.
An illustration shows a larger triangle upper A upper B upper C and a smaller triangle upper D upper E upper F, with labeled sides. On the first triangle, side upper B upper C is the base labeled as 36, side upper A upper B is the hypotenuse labeled as x, and vertical side upper A upper C is on the left and is not labeled. On the second triangle, side upper E upper F is the base labeled as 3, side upper D upper E is the hypotenuse labeled as 6, and vertical side upper D upper F is on the left and is not labeled.
If ΔABC is similar to ΔDEF, and BC=36, EF=3, and DE=6, what is the measure of AB?
(1 point)
Since ΔABC is similar to ΔDEF, their corresponding sides are proportional. Therefore, we can set up the following proportion:
AB/BC = DE/EF
Plugging in the given values, we have:
AB/36 = 6/3
Simplifying the proportion, we get:
AB/36 = 2
To solve for AB, we can cross-multiply:
AB = 36 * 2
AB = 72
Therefore, the measure of AB is 72.