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## 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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Mathematics
1 year
2021-09-04T00:36:06+00:00
2021-09-04T00:36:06+00:00 1 Answers
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## Answers ( )

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: