F4 math problems ( Circles )

2007-03-26 2:03 am
In the figure, the two circles have equal radii and intersect at points A and B. If O1 and O2 are centres of the two circles, O1O2 = 8cm and their radii are 5 cm, find AB.(Leave your answer in surd form.)

Figure http://www1.imgload.com/uploads/f619f63aa0.jpg

回答 (1)

2007-03-26 2:11 am
✔ 最佳答案

圖片參考:http://www1.imgload.com/uploads/f619f63aa0.jpg

Let X be the point that O1O2 and AB intersects
O1O2 = 8cm
O1X = 4cm
O1A = radius = 5cm(radii)
AX^2 = 5^2 - 4^2(Pyth.theo)
AX = 3cm
SO,
AB = 6cm
參考: EM


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