In the isosceles triangle below, if BE is the perpendicular bisector of AD, what if the value of x?

Question

anonymous · Answer

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anonymous · Answer

Not looking for a simple answer, I want to figure out how to solve it :/

directrix · Answer

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All points on the perpendicular-bisector of a segment are equidistant from the endpoints of the segment. That means AB = DB which is a tip-off as to which to sides of the isosceles triangle are the congruent sides.

Those sides are congruent and have the same length.

Set 4x + 5 = 2x + 10 and solve for x.

anonymous · Answer

Hey! Thank you for replying,
Ok, I got 2.5, is that correct?

directrix · Answer

5/2 = 2.5 is correct. Yes.