F5 Maths

2010-10-03 12:10 am
Fig: http://img64.imageshack.us/img64/4323/54875144.jpg

In the figure, ABCD is a semi-circle. Give two sets of p and q such that arc
AB = arc CD.

回答 (1)

2010-10-03 9:13 pm
✔ 最佳答案
Since, ABCD is a semi-circle.ÐABD = ÐACD = 90°Given that arc AB = arc CD, ∴ ÐBDA = ÐCAD (equal arc, equal Ð)∴ ÐBDA = 90° – p – q p + q = 90° – p – q 2p + 2q = 90° p + q = 45° Twp possible sets of p and q:p = 20°, q = 25° and p = 25° and q = 20°

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