4.7 - Similarity In Right Triangles

4.7 - 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.

Draw

Draw the two triangles created by the altitude. Label the vertices.

Multiple Choice

• A

• B

• C

• D

Fill in the Blank

If KM is the altitude to the hypotenuse JL of the right triangle then... $$\frac{6}{e}=\frac{?}{24}$$

​6 * 24 = e * e. Cross multiply

144 = e² Square root both sides

Multiple Choice

• 10

• 12

• 14

• 16

Multiple Choice

Solve for x

• 60

• 52

• 48

• 12

​Think carefully about the next one.....

Multiple Choice

Find the missing length indicated. Leave your answer in simplest radical form.

• 64

• 12

• 9

• 100

Fill in the Blank

If KM is the altitude to the hypotenuse JL of the right triangle then... $$\frac{30}{d}=\frac{?}{6}$$

​6 * 30 = d * d. Cross multiply

180 = d² Square root both sides

Multiple Choice

Find the missing length indicated. Leave your answer in simplest radical form.

• 60

• 100

• 80

• 20

Multiple Choice

Find the value of x.

• 15

• 20

• 48

• 80

Geometric Mean

Let's practice finding geometric mean:

Open Ended

Determine the geometric mean of 6 and 30

Multiple Choice

Determine the value of x:

• 10

• 48

• 96

• 9.8