Question

Directions: Applying the concept of Angle Bisector Theorem, solve owing: Find the value of x and bar (BD). Find x and bar (DC).

Answer 1

Using the Angle Bisector Theorem, we can find the value of x and the length of BD using the given equation BD/AB = CD/AC. Substituting the values and performing cross-multiplication, we find that x = 48/7 and the length of BD is 48/7 units.

Step-by-step explanation:

Applying the Angle Bisector Theorem, we can find the value of x and |BD| (length of BD) as follows:

1. Using the Angle Bisector Theorem, we have BD/AB = CD/AC.
2. Substituting the values BD = x, AB = 12, CD = 18, and AC = 7 into the equation, we get x/12 = 18/7.
3. Cross-multiplying and solving for x, we find that x = 48/7. Therefore, the value of x is 48/7 and the length of BD is 48/7 units.

Hence, x = 48/7 and |BD| = 48/7.