5-5 Parts of Similar Triangles

5-5 Parts of Similar Triangles

In this section...

We will be looking at a number of different situtations where we are going to be attempting to find measurements related to similar trianlges. The overarching principle here is that the Ratio of Simlitude is preserved in each of the linear cases. (Area is another story, but more on that later)

(for those who needed the proof!)

This angle bisecor ratio can be a little tricky...

To recap all that writing....

Multiple Select

Can you find the value of x?

• yes

• no

Multiple Select

Are you able to arrive at 4.5 for an answer as well?

• yes

• no

Multiple Select

Did you also find x = 8 2/3?

• yes

• no

Multiple Select

Did you find 11.2 for the value of x as well?

• yes

• no

Open Ended

What conclusions can you draw about the perimeters of similar triangles?

Because everything involved in finding a perimeter is just adding a set of lengths, the perimiters of similar polygons will follow the scale factor or ratio of similitude

Area on the other hand is a multiplication of two dimensions

watch the video on the next slide for more information

Now for a few practice problems

Multiple Choice

Using the picture, find the value of x.

• 10

• 40

• 15

• 27

Multiple Choice

Solve for x:

• 18.6
• 16.8
• 22.2
• 14.2

Multiple Choice

Solve for x:

• 8
• 7.2
• 8.4
• 6.4

Multiple Choice

Solve for x:

• 10
• 5
• 20
• 11

Multiple Choice

Solve for x:

• 11

• 16.5

• 22

• 18.25

Multiple Choice

Solve for x:

• 11

• 16.5

• 22

• 18.25