54
Special Special Right Right Triangles Triangles
| Date post: | 31-Dec-2015 |
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Special Special Right Right
TrianglesTriangles
Take a Take a square…square…
Find its Find its diagonaldiagonal
Here Here it isit is
Find its Find its lengthlength
xx dd
xx
xx dd
xx
2 2 2x x d 2 22x d
2 22x d
2x d
2 2x d
Summarize Summarize the pattern:the pattern:
4545oo-45-45oo-90-90oo
legleg lelegg
lelegg
2
4545oo-45-45oo-90-90oo
66 66
66
2
Practice:Practice:
4545oo-45-45oo-90-90oo
88 88
88
2
4545oo-45-45oo-90-90oo
55 55
55
2
4545oo-45-45oo-90-90oo
1010 1010
1010
2
4545oo-45-45oo-90-90oo
2 22
2
4545oo-45-45oo-90-90oo
3 2
3 2
6
8
4 2 4 2
4545oo- 45- 45oo--9090oo
4545oo-45-45oo-90-90oo
10 2
10 2
20
Now Let’s Now Let’s take an take an Equilateral Equilateral Triangle…Triangle…
… … Find its Find its AltitudeAltitude
xx xx
xx
aa
2 2
x x
22 2
2
xa x
22 2
4
xa x
2 22 4
4 4
x xa
22 3
4
xa
xx xxaa
2 2
x x
22 3
4
xa
22 3
4
xa
3
2
xa
2 3
4
xa
Summarize Summarize the pattern:the pattern:
3030oo-60-60oo-90-90oo
Hypotenu
Hypotenusese
Longer Longer legleg
Short
er
Short
er
Leg
Leg 30
60
3030oo-60-60oo-90-90oo
Hyp.Hyp.
½ Hyp. ½ Hyp.
½ H
yp
.½
Hyp
.
30
60
3
3030oo-60-60oo-90-90oo
30
60
10 3
2010
Practice:Practice:
3030oo-60-60oo-90-90oo
30
60
14 3
2814
3030oo-60-60oo-90-90oo
30
60
8 3
168
3030oo-60-60oo-90-90oo
30
60
9 3
189
3030oo-60-60oo-90-90oo
30
60
3
21
3030oo-60-60oo-90-90oo
30
60
3 3
63
3030oo-60-60oo-90-90oo
30
60
73
2
77
2
3030oo-60-60oo-90-90oo
30
60
93
2
99
2
3030oo-60-60oo-90-90oo
30
60
6
4 32 3
3030oo-60-60oo-90-90oo
30
60
12
8 34 3
Review Review Both Both
Patterns:Patterns:
4545oo-45-45oo-90-90oo
legleg lelegg
lelegg
2
3030oo-60-60oo-90-90oo
Hyp.Hyp.
½ Hyp. ½ Hyp.
½ H
yp
.½
Hyp
.
30
60
3
Mixed Mixed Practice:Practice:
30
60
12 3
2412
30
60
3 3
63
88 88
88
2
1010 1010
1010
2
10
10
105 3
30
60
15 3
3015
8 8
8
8
8 2
30
60
8 3
16 8
8
4 2 4 2
30
60
3 3
63
15
15
15 2
15
15
30
60
15
10 35 3
30
60
12
8 34 3
44
44
4 2
2 22
2
18
18
189 3
