7.4 - Similarity In Right Triangles

7.4 - Similarity In Right Triangles

By Steve Dull

Objective

​To find and use relationships in similar right triangles.

Vocabulary

​Altitude

The altitude of a triangle is the perpendicular drawn from the vertex of the triangle to the opposite side.

Some text here about the topic of discussion

​Because the altitude is perpendicular to the opposite side, you can see that the altitude divides the original triangle into two right triangles.

Open Ended

Determine the value of x in the diagram:

Poll

What proportion did you write to answer the exercise?

• $$\frac{x}{9}=\frac{12}{15}$$  

• $$\frac{x}{12}=\frac{9}{15}$$  

• Something else

• I didn't know where to start

Geometric Mean

Let's practice finding geometric mean:

Open Ended

Determine the geometric mean of 6 and 30

What Can We Do With That?

Multiple Choice

Determine the value of x:

• 10

• 48

• 96

• 9.8

One more theorem

Open Ended

Determine the value of x:

Independent Practice:

​Complete the "7.4 Practice - Similarity in Right Triangles" page.