圖片參考：http://imgcld.yimg.com/8/n/HA00149615/o/701011210167313873413790.jpg
43. In the figure, ABC is an isoceles right-angled triangle, where
AC=BC=20cm and angle C = 90 degree. A square A1B1CC1 is inscribed in triangle ABC.
a) Find the length of A1B1.
b) Squares A2B2C1C2, A3B3C2C3, ..., AnBnCn-1Cn
are inscribed in isoceles right-angled triangles
A1BC1, A2BC2, ..., An-1 BCn-1 respectively.
i) Find the lengths of A2B2 and A3B3.
ii) Show that A1B1, A2B2, A3B3, ... AnBn form a geometric sequence.
iii) Express the area of AnBnCn-1Cn in terms of n.
44.
圖片參考：http://imgcld.yimg.com/8/n/HA00149615/o/701011210167313873413801.jpg
A1B1C1D1 is a square of side 7 cm. A2B2C2D2
is a square such that A2, B2, C2 and D2 divide
A1B1, B1C1, C1D1 and D1A1 respectively in the
ratio 4:3. Squares A3B3C3D3, A4B4C4D4,
... are drawn in a similar way.
a) Find the length of A2B2.
b) If A1B1, A2B2, A3B3, ... form a geometric
sequence, find
i) the common ratio,
ii) the perimeter of square A8B8C8D8.
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To: HK: Give me steps plz To: freda I can't go to the links
