Warm up
Download
1 / 17

Warm Up - PowerPoint PPT Presentation


  • 77 Views
  • Uploaded on

Warm Up. Find the value of x. Leave your answer in simplest radical form. x. x. 7. 9. 7. 9. 7.3: Special Right Triangles. Objectives: To use the properties of 45-45-90 and 30-60-90 right triangles. 45°-45°-90° Right Triangle.

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

PowerPoint Slideshow about 'Warm Up' - altsoba-wright


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
Warm up
Warm Up

Find the value of x. Leave your answer in simplest radical form.

x

x

7

9

7

9


7 3 special right triangles

7.3: Special Right Triangles

Objectives:

To use the properties of 45-45-90 and 30-60-90 right triangles


45 45 90 right triangle
45°-45°-90° Right Triangle

It is an isosceles, right triangle– Both legs are congruent!!

THEOREM:

The hypotenuse is times the length of the legs

IF YOU NEED TO FIND THE HYPOTENUSE:

Hypotenuse = (Length of Leg) X

IF YOU NEED TO FIND A LEG:

Length of leg =


Examples
Examples:

  • Find h:

2. Find x:

h

x

9



Find x
Find x:

1.

2.

6

x

x


Find x1
Find x:

x

10



30 60 90 right triangle
30°-60°-90° Right Triangle diagonal?

  • Shorter Leg is the side opposite the 30° angle

  • Longer leg is the side opposite the 60° angle

Let the shorter leg = n

HYPOTENUSE = 2 ∙ SHORTER LEG

= 2n

LONGER LEG = SHORTER LEG

= n


If you need to find the shorter leg side opposite 30
If you need to find the shorter leg (side opposite 30°): diagonal?

If given the hypotenuse:

SHORTER LEG =

If given the longer leg:

SHORTER LEG=



Find the missing lengths
Find the missing lengths. 30-60-90 triangle:

1.

2.

60

g

f

y

x

30

5


Find the variables
Find the variables. 30-60-90 triangle:

1.

2.

60

60

x

k

4

m

30

y

30


Find the value of each variable figure not drawn to scale
Find the value of each variable. 30-60-90 triangle:(Figure not drawn to scale)

b

a

30

45

d

c




Find the area of the triangle
Find the area of the triangle. simplest radical form.

45


ad