Length of Segment in Right Triangle

In a right triangle ABC, angle C is the right angle. The length of side AC is 6 units, and the length of side BC is 8 units. Point D is in the interior of triangle ABC such that AD is perpendicular to BC. Calculate the length of segment AD.

Use the following properties:

• The area of triangle ABC can be calculated using the formula: Area = $\frac{1}{2} imes ext{base} imes ext{height}$.
• The area of triangle ABC can also be represented as: Area = $ ext{AD} imes ext{BD}$ where BD is the length of segment BD along BC.