Using the right triangle altitude theorem, the length of side BD in the diagram given is calculated as: B. 14 units.
What is the Right Triangle Altitude Theorem?
The right triangle altitude theorem states that:
BD = √(AD × CD)
We are given the following:
BD = ?
AD = 7 units
CD = 28 units
Applying the right triangle altitude theorem, substitute the values of AD and CD into BD = √(AD × CD) and solve for the length of BD:
BD = √(7 × 28)
BD = √(196)
BD = 14 units.
Thus, applying the right triangle altitude theorem, the length of side BD in the diagram given is calculated as: B. 14 units.
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