Special Right Triangles
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Special Right Triangles. Take a square…. Find its diagonal. Here it is. Find its length. d. x. x. Moody Mathematics. d. x. x. Summarize the pattern:. 45 o -45 o -90 o. leg. leg. leg. 45 o -45 o -90 o. 6. 6. 6. Practice:. 45 o -45 o -90 o. 8. 8. 8. 45 o -45 o -90 o. 5. - PowerPoint PPT Presentation
Transcript of Special Right Triangles
Take a Take a square…square…
Find its Find its diagonaldiagonal
Here Here it isit is
Find its Find its lengthlength
xx dd
xx Moody Mathematics
xx dd
xx
2 2 2x x d 2 22x d
2 22x d
2x d
2 2x d
legleg lelegg
lelegg
2
66 66
66
2
88 88
88
2
55 55
55
2
1010 1010
1010
2
2
2
22
3 2
3 2
6
8
4 2 4 2
4545oo- 45- 45oo--9090oo
10 2
10 2
20
Now Let’s Now Let’s take an take an Equilateral Equilateral Triangle…Triangle…
… … Find its Find its HeightHeight
2x2x 2x2x
2x2x
aa
x x
2 2 2(2 )x a x 2 2 24a x x
2 23a x
2x2x 2x2xaa
x x
2 23a x
2 23a x
3a x
2 3a x
Hypotenu
Hypotenusese
Longer Longer legleg
Short
er
Short
er
Leg
Leg 30
60
2x2x
30
60
3x
x
30
60
10 3
2010
30
60
14 3
2814
30
60
8 3
168
30
60
9 3
189
30
60
3
21
30
60
3 3
63
30
60
73
2
77
2
30
60
2 3
42
30
60
93
2
99
2
30
60
6
4 32 3
30
60
12
8 34 3
xx xx
xx
2
Moody Mathematics
2x2x
30
60
3x
x
Moody Mathematics
30
60
12 3
2412
30
60
3 3
63
Moody Mathematics
88 88
88
2
Moody Mathematics
1010 1010
1010
2
Moody Mathematics
30
60
3
21
10
10
105 3
30
60
15 3
3015
Moody Mathematics
8 8
8
8
8 2
Moody Mathematics
30
60
8 3
16 8
Moody Mathematics
8
4 2 4 2
30
60
3 3
63
15
15
15 2
15
15
30
60
15
10 35 3
30
60
21
14 37 3
44
44
4 2
2
2
22
18
18
189 3
Pg. 461 #3,4, 8, 10Pg 462 # 13 to 18, 23 to 25
