chapter 7 4 n.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
Similarity in Right Triangles PowerPoint Presentation
Download Presentation
Similarity in Right Triangles

Loading in 2 Seconds...

play fullscreen
1 / 31

Similarity in Right Triangles - PowerPoint PPT Presentation


  • 173 Views
  • Uploaded on

Chapter 7.4. Similarity in Right Triangles. Right Triangles. Leg. Leg. Altitude. Hypotenuse. The altitude is the Geometric Mean of the Segments of the Hypotenuse. Leg. Leg. Altitude. Short segment. Long segment. Short seg. =. Alt. Use the formula:. Alt. Long seg. Leg. Leg.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

Similarity in Right Triangles


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
right triangles
Right Triangles

Leg

Leg

Altitude

Hypotenuse

slide3

The altitude is the Geometric Mean of the Segments of the Hypotenuse

Leg

Leg

Altitude

Short segment

Long segment

slide4

Short seg

=

Alt

  • Use the formula:

Alt

Long seg

Leg

Leg

Altitude

Short segment

Long segment

slide5

Short seg

  • 2. Write the formula

=

Alt

  • 1. Label the triangle
  • Ex 1: Write the formula for the geometric mean

Alt

Long seg

Leg

Leg

b

a

Altitude

c

e

d

Short segment

Long segment

slide6

Short seg

c

d

=

Alt

  • 3. Plug into the formula

c

e

  • Ex 1: Write the formula for the geometric mean

Alt

Long seg

Leg

Leg

b

a

Altitude

c

e

d

Short segment

Long segment

slide7

Short seg

z

u

=

Alt

z

v

  • Ex 2: Write the formula for the geometric mean

Alt

Long seg

Leg

y

Leg

x

Altitude

z

v

u

Short segment

Long segment

slide8

p

Short seg

n

=

=

Alt

  • Ex 3: Write the formula for the geometric mean

n

q

Alt

Long seg

Leg

Leg

k

m

Altitude

n

q

p

Short segment

Long segment

slide9

4

Short seg

2

=

=

Alt

4

  • Ex 4: Write the formula for the geometric mean

8

Alt

Long seg

Leg

Leg

k

m

Altitude

4

2

8

Short segment

Long segment

slide10

Short segment

d

  • 1. Label the triangle

Leg

c

  • Ex 5: Write the formula for the geometric mean

a

Hypotenuse

Altitude

Long segment

e

Leg

b

slide11

Short segment

d

  • 2. Write the formula

Leg

c

  • Ex 5: Write the formula for the geometric mean

a

Altitude

Long segment

e

Leg

b

Short seg

=

Alt

Alt

Long seg

slide12

Short segment

d

  • 3. Plug into the formula

Leg

c

  • Ex 5: Write the formula for the geometric mean

a

Altitude

Long segment

e

Leg

b

Short seg

c

d

=

Alt

c

e

Alt

Long seg

slide13

The leg is the Geometric Mean between the whole Hypotenuse and the Segment of the Hypotenuse adjacent to the leg

Leg

Leg

Altitude

Hypotenuse

slide14

Whole Hyp

=

Leg

  • Use the formula:

Leg

SegHypadj

Leg

Leg

Altitude

Short segment

Long segment

slide17

Whole Hyp

  • 2. Write the formula

=

Leg

  • 1. Label the triangle
  • Ex 6: Write the formula for the geometric mean using leg a.

Leg

SegHypadj

Leg

Leg

b

a

c

e

d

What is the whole hyp?

slide18

What is the length of the whole hypotenuse?

4

9

12

y

5

2

3

x

2 + 4 = 6

3 + 12 = 15

5 + 9 = 14

x + y = x + y

slide19

Whole Hyp

a

d+e

=

Leg

  • 3. Plug into the formula

a

  • Ex 6: Write the formula for the geometric mean using leg a.

d

Leg

SegHypadj

Leg

Leg

b

a

Altitude

c

e

d

slide20

Whole Hyp

x

u+v

=

Leg

  • 3. Plug into the formula

x

u

  • Ex 7: Write the formula for the geometric mean using leg x.

Leg

SegHypadj

Leg

Leg

y

x

Altitude

z

v

u

slide21

p+q

Whole Hyp

m

=

Leg

  • 3. Plug into the formula

m

p

  • Ex 8: Write the formula for the geometric mean using leg m.

Leg

SegHypadj

Leg

Leg

k

m

Altitude

n

q

p

slide22

Whole Hyp

2+6

4

8

=

Leg

  • 3. Plug into the formula

4

2

  • Ex 9: Write the formula for the geometric mean using leg x.

Leg

SegHypadj

Leg

Leg

4

Altitude

2

6

slide23

d

  • 1. Label the triangle

Leg

c

  • Ex 10: Write the formula for the geometric mean for side a.

a

Hypotenuse

e

Leg

b

slide24

d

  • 2. Write the formula

Leg

c

  • Ex 10: Write the formula for the geometric mean for side a.

a

e

Leg

b

Whole Hyp

=

Side

Side

AdjHyp

slide25

d

  • 3. Plug into the formula

Leg

c

  • Ex 10: Write the formula for the geometric mean for side a.

a

e

Leg

b

Whole Hyp

a

d+e

=

Side

a

d

Side

AdjHyp

slide26

Whole Hyp

b

d+e

=

Leg

  • 3. Plug into the formula
  • Ex 11: Write the formula for the geometric mean using leg b.

b

e

Leg

SegHypadj

Leg

Leg

b

a

c

e

d

slide27

5+4

Whole Hyp

9

6

=

Leg

  • 3. Plug into the formula

4

  • Ex 11: Write the formula for the geometric mean using leg b.

6

Leg

Seg Hyp adj

Leg

Leg

6

a

c

4

5

when to use which formula
When to use which formula

When you’re given the Altitude

Short seg

=

Alt

Alt

Long seg

Or

When you need to find the Altitude

when to use which formula1
When to use which formula

When you’re given a Leg

Whole Hyp

Leg

=

Leg

SegHypadj

Or

When you need to find a Leg

slide31

Short segment

d

Leg

  • 3. Plug into the formula

c

  • Ex 10: Write the formula for the geometric mean

a

Altitude

Long segment

e

Leg

b

Short seg

=

Alt

Alt

Long seg