Help with Side Splitter

[thekid2005]

Hi I am stuck on this problem in my geometry class!!
this is the diagram and given

please help

 

[Ishuda]

Hi I am stuck on this problem in my geometry class!!
this is the diagram and given

please help

What are your thoughts? What have you done so far? Please show us your work even if you feel that it is wrong so we may try to help you. You might also read
http://www.freemathhelp.com/forum/threads/78006-Read-Before-Posting

Hint: First assume point A is on the perpendicular bisector of BC. If we do that, and label B as (0,0) then H is (0,2), C is (14,0), D is (2,8), and E is (12,8). Now use the Pythagorean Theorem, similar triangles, etc. to compute where point A, F, and G are. What changes if A is offset, say directly over C?

 

[stapel]

Hint: First assume point A is on the perpendicular bisector of BC. If we do that, and label B as (0,0) then H is (0,2), C is (14,0), D is (2,8), and E is (12,8).

How are you getting these values? Are you assuming that ABC is isosceles? Is there any reason, based only on what has been posted, that we can do this?

 

[Ishuda]

How are you getting these values? Are you assuming that ABC is isosceles? Is there any reason, based only on what has been posted, that we can do this?

No, there is no reason why this is the exact construction and it is one of the reasons why I also said 'What changes if A is offset, say directly over C?'