Mathematics

Problem

In the given figure,

ABCD

is a parallelogram,

AE \perp DC

and

CF \perp AD

. If

AD = 15

cm,

CD = 21

cm and

CF = 7

cm, then find

AE

. ![Diagram of a parallelogram ABCD. AE is perpendicular to DC, and CF is perpendicular to AD. The length of DC is 21 cm, and the length of CF is 7 cm.](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/0f23a1179e9b4c12937f04f86841ed6a/c397c8d13a885b05543b490ca9317118_img.jpg) Diagram of a parallelogram ABCD. AE is perpendicular to DC, and CF is perpendicular to AD. The length of DC is 21 cm, and the length of CF is 7 cm. (A) 10 cm (B) 7 cm (C) 8 cm (D) 5 cm

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