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

The two triangles shown below are similar. If DF=6, then how long is AC?-example-1
User Abidi
by
7.9k points

2 Answers

5 votes

Answer:

  • 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! ☺️

User Tevfik Xung
by
8.4k points
7 votes

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

User Calummm
by
8.5k points

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