Answer:
x = 68
Explanation:
You want the value of x in ∆GEH with an angle bisector ED that divides it so that EG = 99.2 ft, EH = 112 ft, GD = 62 ft, and HD = (x+2) ft.
Proportion
The angle bisector divides the sides of the triangle proportionally. This means ...
EH/EG = HD/GD
112/99.2 = (x+2)/62
112/99.2 · 62 = x +2 . . . . . multiply by 62
119/99.2·62 -2 = x = 68 . . . . subtract 2
The value of x is 68.
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