Download Geometry 5-8: Special Right Triangles Notes 45-45

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project

page
1
page
2
Document related concepts
no text concepts found
Transcript 
Geometry
5-8: Special Right Triangles Notes
45-45-90 Triangle:
A right triangle with two 45° angles has the following relationships between sides.
45°
a
45°
a
Ex. 1: Find x and y in each triangle.
x
45°
y
x
45°
y
12
5
45°
5
The legs must be equal, so :
x =5
y = 12
x = 12 2
y =5 2
€
€
5
45°
45°
y
y
x
45°
x
x=
x=3
y=3
y=
€
€
5
2 5 2
⋅
=
2
2 2
5 2
2
30-60-90 Triangle:
A right triangle with 30° and 60° angle has the following relationships between sides.
60°
2a
a
30°
Ex. 2: Find x and y in each triangle.
x
30°
30°
x
y
y
y
10
60°
x
60°
3
1
4 3 =2 3
2
(
)
x=3 3
y =5
x=
y =6
x =5 3
y= 2 3
(
€
€
)( 3 ) = 2 ⋅ 3 = 6
€
13
60°
y
x
10
15
y
x
30°
60°
x
13
2
13 3
x=
2
y=
€
y=
y
15
3 15 3
⋅
=
=5 3
3
3 3
x = 2y = 10 3
€
y=
10
3 10 3
⋅
=
3
3 3
x = 2y =
€
20 3
3
Related documents