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Olin [163]
3 years ago
12

Find AE in the parallelogram, if BD = 12, and AC = 18

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
6 0
See the picture in the attached figure

we know that

There are six important properties of parallelograms to know:

<span>1) Opposite sides are congruent (AB = DC).
2) Opposite angels are congruent (D = B).
3) Consecutive angles are supplementary (A + D = 180°).
4) If one angle is right, then all angles are right.
5) The diagonals of a parallelogram bisect each other.
<span>6) Each diagonal of a parallelogram separates it into two congruent triangles.

so
if t</span></span>he diagonals of a parallelogram bisect each other
then 
AE=EC
AC=AE+EC------> AC=2*AE----> AE=AC/2----> AE=18/2----> AE=9 units

the answer is
AE=9 units

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