In \triangle A B C , A B = A C = 12 \mathrm {~cm} and D is a point on side B C such that A D = 8 \mathrm {~cm} . If A D is extended to a point E such that \angle A C B = \angle A E B , then the length, in cm , of A E is

← CAT 2025 Slot 3 QA

CAT 2025 Slot 3 QA · Question 18

In $△ A B C, A B = A C = 12 cm$ and $D$ is a point on side $B C$ such that $A D = 8 cm$ . If $A D$ is extended to a point $E$ such that $∠ A C B = ∠ A E B$ , then the length, in cm , of $A E$ is

A.
$14$
B.
$20$
C.
$18$
D.
$16$

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