Based on the information given, we know that BD = DF = 16, because B, D, and F are midpoints of the sides of triangle ACE.
Since B and D are midpoints of AC and CE respectively, we can conclude that AB = BC = CD = DE = EF, because midpoints of a triangle's sides divide the sides into segments of equal length.
Therefore, AB = BC = CD = DE = EF = 16.
Since AC = AB + BC, we can substitute the value of AB and BC, which is 16, into the equation.
AC = 16 + 16 = 32.
Therefore, AC = 32.
Points B, D, and F are midpoints of the sides of △ACE
. EC = 38 and DF = 16. Find AC. The diagram is not to scale.
Triangle upper A upper C upper E is shown. Point upper B is on side upper A upper C. Point upper D is on side upper C upper E. Point F is on side upper E upper A. Points upper B upper D upper F are connected to form the smaller triangle upper B upper
1 answer
1 answer