SOLUTION: Triangle ABC is right-angled at C with AB = 48 and AC= 64.The perpendicular bisector of BC meets AC at E. What is the length of AE?

Question 1012927: Triangle ABC is right-angled at C with AB = 48 and AC= 64.The perpendicular bisector of BC meets AC at E. What is the length of AE?
Found 2 solutions by ikleyn, macston:
Answer by ikleyn(52780) (Show Source): You can put this solution on YOUR website!
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Triangle ABC is right-angled at C with AB = 48 and AC= 64.The perpendicular bisector of BC meets AC at E. What is the length of AE?
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In your triangle AB is the hypotenuse and AC is the leg, ACCORDING to your condition (C is right-angle, as you said).

The hypotenuse is shorter than the leg?

Tell it to somebody else.

Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
If C is the right angle, AB is the hypotenuse.
The hypotenuse is the longest side of a right triangle.
If AC is longer than AB, C cannot be a right angle.
Moreover, if it is a right triangle (C=right angle),
the perpendicular bisector of BC will not meet AC,
it will meet AB.
Perhaps you should check your question. If you posted
accurately, no answer is possible for your problem.
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