Question

Given the two similar triangles above, what is the measure of side DF?

Answer 1

The correct answer would be 2

Explanation:

You first want to find your Scale factor which would be 12/3 (simplifyed: 4/1). Then you would want to find the side that corresponds with x, which would be 8 and put in fraction form with x at the bottom. Next you want to cross mutiply the two fraction ( 4/1 and 8/X ) to get the equation 4x=8. Then you divide both sides by 4 to get your answer: 2.

Answer 2

Answer: 2

Steps: You can find the sides using the proportional way. As in the question it is already said the triangles are similar so they have one value that can be added/subtracted/divided/multipled in order to find either of a length. The bigger triangle, if you divide each side by 4, the answer comes.

16/4 = 4 or AB/4 = DE

12/4 = 3 or CB/4= EF

8/4 = 2 or AC/4= DF

So 2 is the length of side DF.