Question

The two triangles shown below are similar. If DF=6, then how long is AC?

Answer 1

• 10 = AC

Step-by-step explanation:

❁ Hello! ❁

AB/DE = AC/DF => 5/3 = AC/6

5/3 = AC/6

5 × 6 = 3 × AC

30 = 3 × AC

30 ÷ 3 = AC

10 = AC

Success! ☺️

Answer 2

AC = 10

Explanation:

We can use proportions to solve

AB AC

------ = -----------

DE DF

5 AC

---- = -------

3 6

Using cross products

5*6 = 3 AC

30 = 3AC

Divide by 3

30/3 = AC

10 = AC