F5 Maths

2010-12-07 11:09 pm
In the figure, TA is a tangent to the circle.
AB is a diameter of the circle.
If OT = 6(開方5) cm and BT = 12(開方2) cm,
find the area of triangle TAB

The ans: 72 cm^2
Give me the steps please.

圖片參考:http://imgcld.yimg.com/8/n/HA00962128/o/701012070046213873422920.jpg

回答 (1)

2010-12-07 11:39 pm
✔ 最佳答案
Let the radius of the circle is r

AT^2+r^2=OT^2=180 and AT^2+(2r)^2=BT^2=288
So 3r^2=288-180=108=>r=6 and AT=12

The area of TAB is AT*2r/2=72 cm^2



收錄日期: 2021-04-26 14:04:45
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20101207000051KK00462

檢視 Wayback Machine 備份