Similarity in Right Triangles

Report
Chapter 7.4

The altitude is the Geometric Mean of the
Segments of the Hypotenuse

Use the formula:

Ex 1: Write the formula for the geometric mean
1. Label the
triangle
2. Write
the
formula

Ex 1: Write the formula for the geometric mean
3. Plug into
the
formula

Ex 2: Write the formula for the geometric mean

Ex 3: Write the formula for the geometric mean

Ex 4: Write the formula for the geometric mean

Ex 5: Write the formula for the geometric
mean
1. Label the
triangle

Ex 5: Write the formula for the geometric
mean
2. Write
the
formula

Ex 5: Write the formula for the geometric
mean
3. Plug into
the
formula

The leg is the Geometric Mean between the
whole Hypotenuse and the Segment of the
Hypotenuse adjacent to the leg

Use the formula:

Remember – Adjacent sides share a common
vertex

Remember – Adjacent sides share a common
vertex

Ex 6: Write the formula for the geometric mean
using leg a.
1. Label the
triangle
2. Write
the
formula

What is the length of the whole hypotenuse?

Ex 6: Write the formula for the geometric mean
using leg a.
3. Plug into
the
formula

Ex 7: Write the formula for the geometric mean
using leg x.
3. Plug into
the
formula

Ex 8: Write the formula for the geometric mean
using leg m.
3. Plug into
the
formula

Ex 9: Write the formula for the geometric mean
using leg x.
3. Plug into
the
formula

Ex 10: Write the formula for the geometric
mean for side a.
1. Label the
triangle

Ex 10: Write the formula for the geometric
mean for side a.
2. Write
the
formula

Ex 10: Write the formula for the geometric
mean for side a.
3. Plug into
the
formula

Ex 11: Write the formula for the geometric mean
using leg b.
3. Plug into
the
formula

Ex 11: Write the formula for the geometric mean
using leg b.
3. Plug into
the
formula
When you’re given
the Altitude
When you need to
find the Altitude
When you’re given
a Leg
When you need to
find a Leg

Ex 10: Write the formula for the geometric
mean
3. Plug into
the
formula

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