M May Pythagoras’ Theorem The square on the hypotenuse equals the sum of the squares on the other...
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M May Pythagoras’ Theorem The square on the hypotenuse equals e sum of the squares on the other two sides c a b hypotenuse
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Transcript of M May Pythagoras’ Theorem The square on the hypotenuse equals the sum of the squares on the other...
M May
Pythagoras’ Theorem
The square on the hypotenuse
equals
the sum of the squares on the other two sides
cabhypotenuse
M May
c2 = a2 + b2
M May
M May
c2 = a2 + b2 a = 12, b = 5
c2 = 122 + 52
c2 = 144 + 25
c2 = 169
c = √169
c = 13
c125hypotenuseBy Pythagoras’ Theorem
M May
2515bhypotenuse
c2 = a2 + b2 a = 15, c = 25
252 = 152 + b2
625 = 225 + b2
b2 = 625 - 225
b2 = 400
b = √400
b = 20
By Pythagoras’ Theorem
M May
Calculate x in each triangle (give answers to 1 dec pl).
x
6
8
(a)x
7
3
(b)
x
9
9(c)
x
2
9
(d)
x
128
(e)
x
2013
(f)
9
x11
(g)
x
2520
(h)
M May
Calculate x in each triangle (give answers to 1 dec pl).
x
6
8
(a)
x
7
3
(b)
x
9
9(c)
x
2
9
(d)
By Pythagoras’ Thm.
x2 = 82 + 62
x2 = 64 + 36x2 = 100x = √ 100x = 10
By Pythagoras’ Thm.
x2 = 72 + 32
x2 = 49 + 9x2 = 58x = √ 58x = 7.6
By Pythagoras’ Thm.
x2 = 92 + 92
x2 = 81 + 81x2 = 162x = √ 162x = 12.7
By Pythagoras’ Thm.
x2 = 92 + 22
x2 = 81 + 4x2 = 85x = √ 85x = 9.2
M May
Calculate x in each triangle (give answers to 1 dec pl).
By Pythagoras’ Thm.
122 = x2 + 82
144 = x2 + 64x2 = 144 - 64x2 = 80x = √ 80x = 8.9
By Pythagoras’ Thm.
202 = x2 + 132
400 = x2 + 169x2 = 400 - 169x2 = 231x = √ 231x = 15.2
By Pythagoras’ Thm.
112 = x2 + 92
121 = x2 + 81x2 = 121 - 81x2 = 40x = √ 40x = 6.3
By Pythagoras’ Thm.
252 = x2 + 202
625 = x2 + 400x2 = 625 - 400x2 = 225x = √ 225x = 15
x
128
(e)
9
x11
(g)
x
2520
(h)
x
2013
(f)
