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#### Albert

##### Well-known member

- Jan 25, 2013

- 1,225

- Thread starter Albert
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- #1

- Jan 25, 2013

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- Mar 10, 2012

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Hello Albert,

In the above problem can you please clarify if E lies on BC or not? If not, then how is E defined other than than AE=10.

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- #3

- Jan 25, 2013

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Point E is on angle bisector of angle A, and AE=10

E is not on BC (from the diagram given)

E is not on BC (from the diagram given)

- Mar 10, 2012

- 834

But then I think BC doesn't have a unique length. Take BC =16 and the mid point of BC be D. Point E is on the side of BC different from that of A and ED=2 with ED perpendicular to BC. In fact any value of BC>16 can provide a configuration confirming to the hypothesis if the question.Point E is on angle bisector of angle A, and AE=10

E is not on BC (from the diagram given)

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- #5

- Jan 25, 2013

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yes, the length of BC is not unique ,it depends on how student draw the diagram

sometimes we plot an open problem ,and want to test the abilities of students in analyzing

now using the diagram given if I said BC=$\dfrac {50}{3}$

what wiil be the sum of the three side lengths of triangle ABC ?

sometimes we plot an open problem ,and want to test the abilities of students in analyzing

now using the diagram given if I said BC=$\dfrac {50}{3}$

what wiil be the sum of the three side lengths of triangle ABC ?

Last edited:

- Mar 10, 2012

- 834

$10$ and $40/3$. Is this correct?yes, the length of BC is not unique ,it depends on how student draw the diagram

sometimes we plot an open problem ,and want to test the abilities of students in analyzing

now using the diagram given if I said BC=$\dfrac {50}{3}$

what wiil be the sum of the three side lengths of triangle ABC ?

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- #7

- Jan 25, 2013

- 1,225

yes,you got it