If BD is the perpendicular on the side AC, then what is the length of BD?

Explanation

From the given values, AB = 63 and AC = 65. The area of right \triangle ABC is \frac{1}{2} \times AB \times BC. It can also be expressed as \frac{1}{2} \times AC \times BD. Equating the two expressions gives BD = \frac{AB \times BC}{AC} = \frac{63 \times 16}{65} = \frac{1008}{65} cm.

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