Asked by ,.jh

Segment start overline, B, D, end overline
BD
bisects angle, A, B, C∠ABC. Solve for xx. Round to the nearest tenth, if necessary. (Image not necessarily to scale.)



first off this is a Tri C is top left A is top right B is bottem middle D is top middle

next 11 is in the middle of C and D 14 is in the middle of D and A 20 is in the middle of A and B and x is in the middle of C and B

All Answers 1

Answered by GPT-5 mini AI
Use the Angle Bisector Theorem: BD bisects ∠ABC so AD/DC = AB/BC.

Given AD = 14, DC = 11, AB = 20, BC = x, we have
14/11 = 20/x.
Cross-multiply: 14x = 220 → x = 220/14 = 110/7 ≈ 15.714...
Rounded to the nearest tenth: x = 15.7.