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TWOOHFOUR'o8!

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Vice-chairman: Li Qing


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Form & Maths: Ms Koo
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Friday, March 28, 2008

Q1: triangle A is the right-angle triangle. As the square of the hypotenuse of a right-angle triangle is equal to the sum of the squares of the other two sides that is called pythagoras' theorem.In this case, triangle A matches the Pythagoras’ theorem.
triangle A:6²+8²=10²

Q2:

x²=4²+3²
=16+9
=25
x=5cm

Q3:
3)a
x² +(2x - 1)²=(2x + 1)²
x²+4x²-4x+1=4x²+4x+1
x²-8x=0
x(x-8)=0
x=0 (reject) or x-8=0
x=8
3)b
area=1/2 × 8 × [2( 8 ) -1]
=4×15
=60cm²



Q4:
AE: 13²-5²=144
√144=12
EB:6²-5²=11
√11=3.3
AB:12+3.3=15.3cm
AREA: 15.3×5=76.5cm²

Q5:
a)
(3x-1)²+(2x)²=(x+7)²
9x²-6x+1+4x²=x²+14x+49
9x²-6x+1+4x²-x²-14x-49=0
12x²-20x-48=0
3x²-5x-12=0

b)
(3x-1)²+(2x)²=(x+7)²
9x²-6x+1+4x²=x²+14x+49
9x²-6x+1+4x²-x²-14x-49=0
12x²-20x-48=0
3x²-5x-12=0
(3x+4)(x-3)=0
(3x+4)=0 or (x-3)=0
x=4/3 (reject) x=3
BC= 9-1
=8cm

Q6:
a)10²+24²=26²

b) 4²+6²≠7²

thus, a is the right-angled triangle.

Q7:
a)
BC: 13²-5²=12²
√12²=12cm
b)
AD: 15²-12²=9²
√9²=9cm

Q8:
17²-8²=15²
√15²=15
10²-8²=36
√36=6
15-6=9cm

Q9:

x: 3²+4²=25
√25=5cm

Q10:
Pythagoras Theorem :
a²+b²=c²
in this case:
8²+7²=x²


12:59 PM