Activity 21 - Special Right Triangles

UNIT 9: ACTIVITY 21
SPECIAL RIGHT TRIANGLES
45-45 RIGHT TRIANGLES
SPECIAL RIGHT TRIANGLES
Date
Learning Target
1/19 The Right Triangle Altitude Theorem
1/20 Working with Radicals
1/23 The Geometric Mean
1/25 The Pythagorean Theorem
1/26 Converse of the Pythagorean Theorem
1/30 45-45 Right Triangles
Page
#
110
112
114
118
120
122
45-45 RIGHT TRIANGLES
SPECIAL RIGHT TRIANGLES
Learning Task:
I will develop and apply special
right triangle relationships to
problem situations.
45-45 RIGHT TRIANGLES
SPECIAL RIGHT TRIANGLES
Warm-up, Quick Write…
List five things you know about
isosceles right triangles
45-45 RIGHT TRIANGLES
SPECIAL RIGHT TRIANGLES
A
0
45
2
1
B
45
1
0
C
45-45 RIGHT TRIANGLES
SPECIAL RIGHT TRIANGLES
y
5
x
8 2
a
c
45-45 RIGHT TRIANGLES
SPECIAL RIGHT TRIANGLES
15
y
x
a
b
18 2
30-60 RIGHT TRIANGLES
SPECIAL RIGHT TRIANGLES
Date
Learning Target
1/19 The Right Triangle Altitude Theorem
1/20 Working with Radicals
1/23 The Geometric Mean
1/25 The Pythagorean Theorem
1/26 Converse of the Pythagorean Theorem
1/30 45-45 Right Triangles
1/31 30-60 Right Triangles
Page
#
110
112
114
118
120
122
124
30-60 RIGHT TRIANGLES
SPECIAL RIGHT TRIANGLES
Learning Task:
I will develop and apply special
right triangle relationships to
problem situations.
30-60 RIGHT TRIANGLES
SPECIAL RIGHT TRIANGLES
Short
Leg
Hy
po = Short Leg x 2
ten
us
e
Long Leg = Short Leg x 3
30-60 RIGHT TRIANGLES
SPECIAL RIGHT TRIANGLES
30-60 RIGHT TRIANGLES
SPECIAL RIGHT TRIANGLES
30-60 RIGHT TRIANGLES
SPECIAL RIGHT TRIANGLES
UNIT CIRCLE
SPECIAL RIGHT TRIANGLES
Date
Learning Target
1/19 The Right Triangle Altitude Theorem
1/20 Working with Radicals
1/23 The Geometric Mean
1/25 The Pythagorean Theorem
1/26 Converse of the Pythagorean Theorem
1/30 45-45 Right Triangles
1/31 30-60 Right Triangles
2/1
Unit Circle
Page
#
110
112
114
118
120
122
124
126
UNIT CIRCLE
SPECIAL RIGHT TRIANGLES
Learning Task:
I will develop and apply special
right triangle relationships to
problem situations.
UNIT CIRCLE
ni
U
1
Unit Circle
Circle with a
radius of one,
often centered
at the origin.
t
SPECIAL RIGHT TRIANGLES
UNIT CIRCLE
SPECIAL RIGHT TRIANGLES
00
(1, 0)