Question

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 if we remove D top will hold 25

Answer 1

Use the Angle Bisector Theorem: because BD bisects ∠ABC, AD/DC = AB/BC.

Given AD = 14, DC = 11, AB = 20 and BC = x,
14/11 = 20/x → x = 20*(11/14) = 110/7 ≈ 15.7.

So x = 110/7 ≈ 15.7 (to the nearest tenth).