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

Answer 1

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

Explanation: