| T O P I C R E V I E W |
| raghu |
Posted - 04/30/2008 : 08:34:25
a circular table is pushed into a corner in a rectangular room so that it touches both walls. A point on the edge of the table between the two points of contact is 2 inches from one wall and 9 inches from the othre. What is the radius of the table |
| 7 L A T E S T R E P L I E S (Newest First) |
| Subhotosh Khan |
Posted - 05/01/2008 : 08:49:10
quote:
Originally posted by raghu
Got it. Thank you. it results in a quadratic (a-5)(a-17)= and it has to be a = 17
because a = 5 is not feasibleCorrect ... that is where the part "A point on the edge of the table between the two points of contact ..." comes into play
. Thanks for your help.
|
| raghu |
Posted - 05/01/2008 : 07:40:49
Got it. Thank you. it results in a quadratic (a-5)(a-12)= and it has to be a = 17 because a = 5 is not feasible. Thanks for your help. |
| Subhotosh Khan |
Posted - 04/30/2008 : 20:50:56
quote:
Originally posted by raghu
But, How? sqrt(85) <> 17<<<< because  (85) is not the correct answer
|
| raghu |
Posted - 04/30/2008 : 15:00:21
But, How? sqrt(85) <> 17 |
| Subhotosh Khan |
Posted - 04/30/2008 : 13:26:30
17" is the correct answer. |
| raghu |
Posted - 04/30/2008 : 10:44:02
This is a problem that appeared in Georgia tech math competition. The answer suggested is 17 inches. I got sqrt(85) as the answer, |
| Subhotosh Khan |
Posted - 04/30/2008 : 09:17:24
quote:
Originally posted by raghu
a circular table is pushed into a corner in a rectangular room so that it touches both walls. A point on the edge of the table between the two points of contact is 2 inches from one wall and 9 inches from the othre. What is the radius of the table
Please show your work - so that we know where to begin to help you.
1) Draw a sketch of the problem.
2) denote the walls as the x & y axes - write the equation of the circle (table) with radius 'r'.
3) P(2,9) is a point on the circle.
4) solve for 'r' - using (2) and (3)
5) Why did the problem statement include "A point on the edge of the table between the two points of contact ..."? |
Interactive Math Goodies Software
