⬆️20 POINTS geometry triangle similarity and proportions
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Step-by-step explanation:
1.
ABE and ACD.
yes, they are similar, as all 3 pairs of sides have the same orientation, and therefore in all 3 pairs of angles the 2 angles are identical.
so, the AAA (Angle-Angle-Angle) criteria applies :
if two angles of one triangle are respectively equal to two angles of another triangle, then the two triangles are similar. and especially, when all 3 respective angle pairs are already clear to be equal amongst each other.
not to forget : the sum of all angles in a triangle is always 180°. so, when we know 2 angles, we automatically know the third angle too.
2.
AB/BC = AE/ED
AC/AB = AD/ED
(AE + ED)/(AB + BC) = AD/AC