Question 24 In A DEF, the bisector of ZF divides the opposite sides into segments that are 4 and 9 in. long. The side of the tri

Question

Question 24
In A DEF, the bisector of ZF divides the opposite sides into segments that are
4 and 9 in. long. The side of the triangle adjacent to the 4 in segment is 6 in.
long. To the nearest tenth of an inch, how long is the third side of the triangle?
A.13.5
B.27
C.6
D.13

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Gia Bảo 1 year 2021-09-04T00:36:06+00:00 1 Answers 40 views 0

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    2021-09-04T00:37:42+00:00

    Answer:

    1).

    Sqrt (7 x 12) = 9.165

    2).  

    Altitude = Sqrt (14 x 8) = 10.583

    3).  

    If FG is the angle bisector of angle F in triangle DEF,

    DF/EF = DG/EG

    6/EF = 4/9

    EF = 13.5 in long.

    4).  

    In triangle QRS, XY is parallel to SR.  

    SX/XQ = RY/YQ

    3/2x = 4.5/7.5

    9x = 22.5

    x = 2.5

    The length of QS

    = SX + 2x  

    = 3 + 5

    = 8

    did this help sorry if it didnt

    Step-by-step explanation:

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