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

Question

asked Jan 19, 2022 96.9k views

2 Answers

Tevfik Xung · Answer 1 · 2022-01-20T07:28:33+0000

Answer:

Step-by-step explanation:

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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! ☺️

Calummm · Answer 2 · 2022-01-23T20:15:22+0000

Answer:

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