The problem states that triangle ABC is similar to triangle DEF. This means that the sides are proportional.

We can set up a proportion to find the missing side length.

The sides of triangle ABC are 3, 6, and 6. The sides of triangle DEF are 3, 4, and 5.

We can set up the proportion as follows:

6 (from triangle ABC) / 3 (from triangle ABC) = ? (missing side length of triangle DEF) / 5 (from triangle DEF)

Cross-multiplying gives us:

6 * 5 = 3 * ?

30 = 3 * ?

To solve for ?, we divide both sides by 3:

? = 30 / 3

? = 10

So, the missing side length of triangle DEF is 10.

Question

The problem states that triangle ABC is similar to triangle DEF. This means that the sides are proportional.

We can set up a proportion to find the missing side length.

The sides of triangle ABC are 3, 6, and 6. The sides of triangle DEF are 3, 4, and 5.

We can set up the proportion as follows:

6 (from triangle ABC) / 3 (from triangle ABC) = ? (missing side length of triangle DEF) / 5 (from triangle DEF)

Cross-multiplying gives us:

6 * 5 = 3 * ?

30 = 3 * ?

To solve for ?, we divide both sides by 3:

? = 30 / 3

? = 10

So, the missing side length of triangle DEF is 10.

Knowee AI · Accepted Answer