Embed Size (px)
Citation preview
© T Madas
© T Madas
6 m
8 m
Finding the hypotenuse
x
62 + 82 = x2
36 + 64 = x2
100 = x2
100 = x
= x10 x = 10
ÛÛÛÛÛ
12 m
13 m
Finding one of the shorter sides
x
122 + x2 = 132
144 + x2 = 169
x2 = 169
= 25
= 25
x x = 5
ÛÛÛÛÛ
– 144
x2
© T Madas
10 m
12
mFinding the hypotenuse
x
102 + 122 = x2
100 + 144 = x2
244 = x2
244 = x
= x15.62 x ≈ 15.62
ÛÛÛÛÛ
11 m
15 m
Finding one of the shorter sides
x
112 + x2 = 152
121 + x2 = 225
x2 = 225
104=
= 104
x x ≈ 10.20
ÛÛÛÛÛ
– 121
x2
© T Madas
5 cm
5 c
m
12 c
mx
a
25 + 25 a= 2 Û25 +25 a= 2 Û
50 a= 2 Û
50 a= Û
a .» 7 07 cm
a2 x+ 2 = 212 Û
( )2
50 x+ 2 =144 Û
50 x+ 2 =144 Û
x 2 =144 - 50 Ûx 2
94=
Ûx
= 94
Find x
.9 70 cm»
Double application Pythagoras theorem
© T Madas
5 mx
Find the perimeter of this triangle
20 m
13 m
Two applications of Pythagoras Theorem to find x
h
25 2+h = 213 Û25 2+h =169 Ûh2 = -169 25 Ûh2 =144 Ûh =12 m
x 2 2+h = 220 Ûx 2+144 = 400 Ûx 2 = -400 144 Ûx 2 = 256 Ûx =16 m
The perimeter ofthis triangle is 54 m
© T Madas
© T Madas
15
8 17
10
6 11.7
24
7
25
12
35 37
5
15
15.8
8
8
11.3
Calculate the hypotenuse of these right-angled triangles, giving your answer correct to 1 d.p. where appropriate.
all measurements in cm
© T Madas
12
9 15
14
6 15.2
12
5
13
20
21 29
6
20
20.9
9
9
12.7
Calculate the hypotenuse of these right-angled triangles, giving your answer correct to 1 d.p. where appropriate.
all measurements in cm
© T Madas
17.9
9 20
15
13.220
45
28
53
20
21 29
11
60
61
9.4
9
13
Calculate the missing side of these right-angled triangles, giving your answer correct to 1 d.p. where appropriate.
all measurements in cm
© T Madas
16.1
8 18
20
1525
10.4
6
12
17.3
22 28
10
24
26
6
8
10
Calculate the missing side of these right-angled triangles, giving your answer correct to 1 d.p. where appropriate.
all measurements in cm
© T Madas
30
16 34
36
1539
13
6
14.3
17.0
21 27
18
80
82
7.5
8
11
Calculate the missing side of these right-angled triangles, giving your answer correct to 1 d.p. where appropriate.
all measurements in cm
© T Madas
28
21 35
31
23.739
13
6
14.3
20
21 29
14
48
50
2.8
4.5
5.3
Calculate the missing side of these right-angled triangles, giving your answer correct to 1 d.p. where appropriate.
all measurements in cm
© T Madas
![michaelbor.github.iomichaelbor.github.io/presentation_podc2011.pdf · So, Why Algebraic Gossip is Faster? 4/12 A B Pr(helpful) = 1 k [x 1;x2;x 3;:::xk] [x ;x2=?;x ;:::xk] Without](https://img.pdfslide.us/doc/110x75/5fd481f80632f6111e516116/so-why-algebraic-gossip-is-faster-412-a-b-prhelpful-1-k-x-1x2x-3xk.jpg)
