Question

Segment BD bisects ZABC. Solve for 2. Round to the nearest tenth, if necessary.

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Answer 1

• x = 10.5 units

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Angle bisector theorem:

• An angle bisector of a triangle divides the opposite side into two proportional parts as the two sides of same angle.

Applying to the given triangle:

• AB / BC = AD / DC, or

• x / 14 = 6 / 8

Solve it for x:

• x = 14*6/8
• x = 10.5