# right triangle

Discussion in 'General Math' started by C.A.Hall's Tax Service, Dec 2, 2004.

1. ### C.A.Hall's Tax ServiceGuest

ABC is a right-angled triangle with angle ABC = 90°.
D is a point on AB such that CD bisects the angle ACB.
E is a point on BC such that AE bisects the angle CAB.
If AE = 9 cm and CD = 82 cm, find the length of AC.

C.A.Hall's Tax Service, Dec 2, 2004

2. ### Lynn KurtzGuest

Look at the following reference for relations about angle bisectors:

http://mathworld.wolfram.com/AngleBisector.html

Using those equations for your known lengths and the fact your
triangle is a right triangle, I get negative answers using Maple.

--Lynn

Lynn Kurtz, Dec 2, 2004

3. ### George CoxGuest

Are you sure? Maybe CD = 8.2 cm?

George Cox, Dec 3, 2004
4. ### mechy engineeryGuest

| ABC is a right-angled triangle with angle ABC = 90.
| D is a point on AB such that CD bisects the angle ACB.
| E is a point on BC such that AE bisects the angle CAB.
| If AE = 9 cm and CD = 82 cm, find the length of AC.
|
|

BC = 7.08
AB = 8.27
Therefore AC = 10.89

mechy engineery, Dec 4, 2004
5. ### mechy engineeryGuest

|
| || ABC is a right-angled triangle with angle ABC = 90.
|| D is a point on AB such that CD bisects the angle ACB.
|| E is a point on BC such that AE bisects the angle CAB.
|| If AE = 9 cm and CD = 82 cm, find the length of AC.
||
||
|
| BC = 7.08
| AB = 8.27
| Therefore AC = 10.89
|

Sorry wrong calc.

Please ignore I rushed too much.

mechy engineery, Dec 5, 2004
6. ### David SnookGuest

| ABC is a right-angled triangle with angle ABC = 90°.
| D is a point on AB such that CD bisects the angle ACB.
| E is a point on BC such that AE bisects the angle CAB.
| If AE = 9 cm and CD = 82 cm, find the length of AC.
|
|

AC = ~82.2 CM

AB = ~81.933 CM
BC = ~6.615 CM

Regards, David

David Snook, Dec 5, 2004